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136105610505504 = 2536474397498361
BaseRepresentation
bin11110111100100110001110…
…100100001110110100100000
3122211220120101000100101120220
4132330212032210032310200
5120314423242242134004
61201250015420403040
740445206623541233
oct3674461644166440
9584816330311526
10136105610505504
113a405079956592
12133222196a6480
135ac391c8b9853
1425877921cd41a
1510b06450b7dd9
hex7bc98e90ed20

136105610505504 has 96 divisors (see below), whose sum is σ = 357911532026496. Its totient is φ = 45288022456320.

The previous prime is 136105610505497. The next prime is 136105610505637. The reversal of 136105610505504 is 405505016501631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1361056105055042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272857284 + ... + 273355644.

It is an arithmetic number, because the mean of its divisors is an integer number (3728245125276).

Almost surely, 2136105610505504 is an apocalyptic number.

It is an amenable number.

136105610505504 is an abundant number, since it is smaller than the sum of its proper divisors (221805921520992).

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

136105610505504 is a wasteful number, since it uses less digits than its factorization.

136105610505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503418 (or 503410 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 136105610505504 in words is "one hundred thirty-six trillion, one hundred five billion, six hundred ten million, five hundred five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 647 1294 1941 2588 3882 4397 5176 7764 8794 10352 13191 15528 17588 20704 26382 31056 35176 52764 62112 70352 105528 140704 211056 422112 498361 996722 1495083 1993444 2844859 2990166 3986888 5689718 5980332 7973776 8534577 11379436 11960664 15947552 17069154 22758872 23921328 34138308 45517744 47842656 68276616 91035488 136553232 273106464 322439567 644879134 967318701 1289758268 1934637402 2191293317 2579516536 3869274804 4382586634 5159033072 6573879951 7738549608 8765173268 10318066144 13147759902 15477099216 17530346536 26295519804 30954198432 35060693072 52591039608 70121386144 105182079216 210364158432 1417766776099 2835533552198 4253300328297 5671067104396 8506600656594 11342134208792 17013201313188 22684268417584 34026402626376 45368536835168 68052805252752 136105610505504