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155116656504 = 23335390714939
BaseRepresentation
bin1001000001110110101…
…1000101011101111000
3112211101100100121002000
42100131223011131320
510020134331002004
6155132024141000
714130635553105
oct2203553053570
9484340317060
10155116656504
115a86a343997
1226090307760
1311820634164
14771713baac
15407cdcac39
hex241dac5778

155116656504 has 128 divisors (see below), whose sum is σ = 439522848000. Its totient is φ = 50670652032.

The previous prime is 155116656449. The next prime is 155116656517. The reversal of 155116656504 is 405656611551.

155116656504 is a `hidden beast` number, since 15 + 5 + 11 + 66 + 565 + 0 + 4 = 666.

155116656504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1551166565042 (a number of 23 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 155116656504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10375867 + ... + 10390805.

It is an arithmetic number, because the mean of its divisors is an integer number (3433772250).

Almost surely, 2155116656504 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 155116656504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219761424000).

155116656504 is an abundant number, since it is smaller than the sum of its proper divisors (284406191496).

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

155116656504 is a wasteful number, since it uses less digits than its factorization.

155116656504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 155116656504 in words is "one hundred fifty-five billion, one hundred sixteen million, six hundred fifty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 907 954 1272 1431 1814 1908 2721 2862 3628 3816 5442 5724 7256 8163 10884 11448 14939 16326 21768 24489 29878 32652 44817 48071 48978 59756 65304 89634 96142 97956 119512 134451 144213 179268 192284 195912 268902 288426 358536 384568 403353 432639 537804 576852 791767 806706 865278 1075608 1153704 1297917 1583534 1613412 1730556 2375301 2595834 3167068 3226824 3461112 4750602 5191668 6334136 7125903 9501204 10383336 13549673 14251806 19002408 21377709 27099346 28503612 40649019 42755418 54198692 57007224 81298038 85510836 108397384 121947057 162596076 171021672 243894114 325192152 365841171 487788228 718132669 731682342 975576456 1436265338 1463364684 2154398007 2872530676 2926729368 4308796014 5745061352 6463194021 8617592028 12926388042 17235184056 19389582063 25852776084 38779164126 51705552168 77558328252 155116656504