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151680300156 = 2232711411334603
BaseRepresentation
bin1000110101000011011…
…0011011010001111100
3112111111212020121100200
42031100312123101330
54441120124101111
6153403031123500
713646531164350
oct2152066332174
9474455217320
10151680300156
1159366636570
1225491513590
13113c371c0c8
1474ac9c9460
153e2b391256
hex2350d9b47c

151680300156 has 144 divisors (see below), whose sum is σ = 489682222848. Its totient is φ = 38436537600.

The previous prime is 151680300113. The next prime is 151680300169. The reversal of 151680300156 is 651003086151.

151680300156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 151680300156.

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 47 ways as a sum of consecutive naturals, for example, 553650 + ... + 780953.

It is an arithmetic number, because the mean of its divisors is an integer number (3400570992).

Almost surely, 2151680300156 is an apocalyptic number.

It is an amenable number.

151680300156 is an abundant number, since it is smaller than the sum of its proper divisors (338001922692).

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

151680300156 is a wasteful number, since it uses less digits than its factorization.

151680300156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334672 (or 1334667 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151680300156 in words is "one hundred fifty-one billion, six hundred eighty million, three hundred thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 37884 56826 113652 1334603 2669206 4003809 5338412 8007618 9342221 12011427 14680633 16015236 18684442 24022854 28026663 29361266 37368884 44041899 48045708 54718723 56053326 58722532 84079989 88083798 102764431 109437446 112106652 132125697 164156169 168159978 176167596 205528862 218874892 264251394 308293293 328312338 336319956 383031061 411057724 492468507 528502788 601905953 616586586 656624676 766062122 924879879 984937014 1149093183 1203811906 1233173172 1532124244 1805717859 1849759758 1969874028 2298186366 2407623812 3447279549 3611435718 3699519516 4213341671 4596372732 5417153577 6894559098 7222871436 8426683342 10834307154 12640025013 13789118196 16853366684 21668614308 25280050026 37920075039 50560100052 75840150078 151680300156