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136115212056464 = 24173131760184731
BaseRepresentation
bin11110111100101111001010…
…110111001111011110010000
3122211221111011011100201101102
4132330233022313033132100
5120320102423241301324
61201254244251123532
740445666562431204
oct3674571267173620
9584844134321342
10136115212056464
113a409156764973
12133240591435a8
135ac47bcb89654
142588023472b04
1510b0a07ebbdae
hex7bcbcadcf790

136115212056464 has 160 divisors (see below), whose sum is σ = 289637803994112. Its totient is φ = 61688862720000.

The previous prime is 136115212056359. The next prime is 136115212056493. The reversal of 136115212056464 is 464650212511631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606396979 + ... + 1606481709.

Almost surely, 2136115212056464 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 136115212056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144818901997056).

136115212056464 is an abundant number, since it is smaller than the sum of its proper divisors (153522591937648).

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

136115212056464 is a wasteful number, since it uses less digits than its factorization.

136115212056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85705 (or 85699 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 136115212056464 in words is "one hundred thirty-six trillion, one hundred fifteen billion, two hundred twelve million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 317 496 527 601 634 1054 1202 1268 2108 2404 2536 4216 4808 5072 5389 8432 9616 9827 10217 10778 18631 19654 20434 21556 37262 39308 40868 43112 74524 78616 81736 84731 86224 149048 157232 163472 167059 169462 190517 298096 316727 334118 338924 381034 633454 668236 677848 762068 1266908 1336472 1355696 1440427 1524136 2533816 2626661 2672944 2880854 3048272 3238789 5067632 5253322 5761708 5906027 6477578 10506644 11523416 11812054 12955156 21013288 23046832 23624108 25910312 26859727 42026576 44653237 47248216 50923331 51820624 53719454 89306474 94496432 100402459 101846662 107438908 178612948 200804918 203693324 214877816 357225896 401609836 407386648 429755632 456615359 714451792 803219672 814773296 832651537 865696627 913230718 1578623261 1606439344 1665303074 1731393254 1826461436 3157246522 3330606148 3462786508 3652922872 6314493044 6661212296 6925573016 7305845744 12628986088 13322424592 13851146032 14155076129 16142695927 25257972176 26836595437 28310152258 32285391854 53673190874 56620304516 64570783708 107346381748 113240609032 129141567416 214692763496 226481218064 258283134832 274425830759 429385526992 500423573737 548851661518 1000847147474 1097703323036 2001694294948 2195406646072 4003388589896 4390813292144 8006777179792 8507200753529 17014401507058 34028803014116 68057606028232 136115212056464