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5161501656 = 2333791312309
BaseRepresentation
bin1001100111010011…
…00100001111011000
3111022201021110012000
410303221210033120
541032321023111
62212100521000
7241623016533
oct46351441730
914281243160
105161501656
112209595653
1210006b0160
136434569bc
1436d701a1a
15203208c56
hex133a643d8

5161501656 has 128 divisors (see below), whose sum is σ = 14636160000. Its totient is φ = 1685024640.

The previous prime is 5161501651. The next prime is 5161501669. The reversal of 5161501656 is 6561051615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5161501656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161501651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234230 + ... + 2236538.

It is an arithmetic number, because the mean of its divisors is an integer number (114345000).

Almost surely, 25161501656 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 5161501656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080000).

5161501656 is an abundant number, since it is smaller than the sum of its proper divisors (9474658344).

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

5161501656 is a wasteful number, since it uses less digits than its factorization.

5161501656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5161501656 is about 71843.5916140055. The cubic root of 5161501656 is about 1728.1921323787.

The spelling of 5161501656 in words is "five billion, one hundred sixty-one million, five hundred one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 131 158 216 237 262 316 393 474 524 632 711 786 948 1048 1179 1422 1572 1896 2133 2309 2358 2844 3144 3537 4266 4618 4716 5688 6927 7074 8532 9236 9432 10349 13854 14148 17064 18472 20698 20781 27708 28296 31047 41396 41562 55416 62094 62343 82792 83124 93141 124188 124686 166248 182411 186282 248376 249372 279423 302479 364822 372564 498744 547233 558846 604958 729644 745128 907437 1094466 1117692 1209916 1459288 1641699 1814874 2188932 2235384 2419832 2722311 3283398 3629748 4377864 4925097 5444622 6566796 7259496 8166933 9850194 10889244 13133592 16333866 19700388 21778488 23895841 32667732 39400776 47791682 65335464 71687523 95583364 143375046 191166728 215062569 286750092 430125138 573500184 645187707 860250276 1290375414 1720500552 2580750828 5161501656