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20151521334 = 2347192932251
BaseRepresentation
bin10010110001000111…
…111101000000110110
31221000101122100110000
4102301013331000312
5312232242140314
613131341012130
71312242051030
oct226107750066
957011570400
1020151521334
11860101026a
123aa4854046
131b91bba129
14d92488c50
157ce1eb209
hex4b11fd036

20151521334 has 160 divisors (see below), whose sum is σ = 56195884800. Its totient is φ = 5266296000.

The previous prime is 20151521329. The next prime is 20151521359. The reversal of 20151521334 is 43312515102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20151521298 and 20151521307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 608709 + ... + 640959.

It is an arithmetic number, because the mean of its divisors is an integer number (351224280).

Almost surely, 220151521334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151521334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28097942400).

20151521334 is an abundant number, since it is smaller than the sum of its proper divisors (36044363466).

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

20151521334 is a wasteful number, since it uses less digits than its factorization.

20151521334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32320 (or 32311 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 20151521334 in words is "twenty billion, one hundred fifty-one million, five hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 29 38 42 54 57 58 63 81 87 114 126 133 162 171 174 189 203 261 266 342 378 399 406 513 522 551 567 609 783 798 1026 1102 1134 1197 1218 1539 1566 1653 1827 2349 2394 3078 3306 3591 3654 3857 4698 4959 5481 7182 7714 9918 10773 10962 11571 14877 16443 21546 23142 29754 32251 32886 34713 44631 64502 69426 89262 96753 104139 193506 208278 225757 290259 312417 451514 580518 612769 624834 677271 870777 935279 1225538 1354542 1741554 1838307 1870558 2031813 2612331 2805837 3676614 4063626 4289383 5224662 5514921 5611674 6095439 6546953 8417511 8578766 11029842 12190878 12868149 13093906 16544763 16835022 17770301 18286317 19640859 25252533 25736298 33089526 35540602 36572634 38604447 39281718 49634289 50505066 53310903 58922577 75757599 77208894 99268578 106621806 115813341 117845154 124392107 151515198 159932709 176767731 231626682 248784214 319865418 347440023 353535462 373176321 479798127 530303193 694880046 746352642 959596254 1060606386 1119528963 1439394381 2239057926 2878788762 3358586889 6717173778 10075760667 20151521334