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515153043152132 = 227211734397455901
BaseRepresentation
bin111010100100001110110101…
…0001001000101110100000100
32111120000011001022121200110212
41311020131222021011310010
51020010231413021332012
65023350012501134552
7213336402434525300
oct16510355211056404
92446004038550425
10515153043152132
1113a1641a6935760
124994013b9ba458
131915a953775648
14912d77c91cd00
153e854a5dabb22
hex1d4876a245d04

515153043152132 has 144 divisors (see below), whose sum is σ = 1162354841746560. Its totient is φ = 197508580416000.

The previous prime is 515153043152131. The next prime is 515153043152159. The reversal of 515153043152132 is 231251340351515.

It is a super-2 number, since 2×5151530431521322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 515153043152132.

It is not an unprimeable number, because it can be changed into a prime (515153043152131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65365382 + ... + 72821282.

It is an arithmetic number, because the mean of its divisors is an integer number (8071908623240).

Almost surely, 2515153043152132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515153043152132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581177420873280).

515153043152132 is an abundant number, since it is smaller than the sum of its proper divisors (647201798594428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

515153043152132 is a wasteful number, since it uses less digits than its factorization.

515153043152132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456442 (or 7456433 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 515153043152132 in words is "five hundred fifteen trillion, one hundred fifty-three billion, forty-three million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 73 77 98 146 154 196 292 308 439 511 539 803 878 1022 1078 1606 1756 2044 2156 3073 3212 3577 4829 5621 6146 7154 9658 11242 12292 14308 19316 21511 22484 32047 33803 39347 43022 64094 67606 78694 86044 128188 135212 157388 224329 236621 352517 448658 473242 705034 897316 946484 1410068 1570303 2467619 3140606 4935238 6281212 7455901 9870476 14911802 17273333 29823604 34546666 52191307 69093332 82014911 104382614 164029822 208765228 328059644 365339149 544280773 574104377 730678298 1088561546 1148208754 1461356596 2177123092 2296417508 3273140539 3809965411 4018730639 5987088503 6546281078 7619930822 8037461278 11974177006 13092562156 15239861644 16074922556 22911983773 23948354012 26669757877 36004545929 41909619521 45823967546 53339515754 72009091858 83819239042 91647935092 106679031508 144018183716 160383886411 167638478084 238939259347 252031821503 293367336647 320767772822 477878518694 504063643006 586734673294 641535545644 955757037388 1008127286012 1173469346588 1672574815429 1764222750521 2628331852817 3345149630858 3528445501042 5256663705634 6690299261716 7056891002084 10513327411268 11708023708003 18398322969719 23416047416006 36796645939438 46832094832012 73593291878876 128788260788033 257576521576066 515153043152132