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136492663210416 = 2435172065066921
BaseRepresentation
bin11111000010001110101100…
…101101001000000110110000
3122220021120102101022000200000
4133002032230231020012300
5120342243433240213131
61202143510331230000
740515161302336242
oct3702165455100660
9586246371260600
10136492663210416
113a544239031507
12133852388a8300
135b21283a4a826
14259c3cca26092
1510ba749ec0ce6
hex7c23acb481b0

136492663210416 has 120 divisors (see below), whose sum is σ = 419439872661264. Its totient is φ = 42821227653120.

The previous prime is 136492663210243. The next prime is 136492663210427. The reversal of 136492663210416 is 614012366294631.

136492663210416 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 2 + 6 + 6 + 3 + 210 + 416 = 666.

It is a super-2 number, since 2×1364926632104162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032467365 + ... + 1032599556.

Almost surely, 2136492663210416 is an apocalyptic number.

136492663210416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136492663210416 is an abundant number, since it is smaller than the sum of its proper divisors (282947209450848).

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

136492663210416 is a wasteful number, since it uses less digits than its factorization.

136492663210416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065066961 (or 2065066943 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 136492663210416 in words is "one hundred thirty-six trillion, four hundred ninety-two billion, six hundred sixty-three million, two hundred ten thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3672 3888 4131 5508 7344 8262 11016 16524 22032 33048 66096 2065066921 4130133842 6195200763 8260267684 12390401526 16520535368 18585602289 24780803052 33041070736 35106137657 37171204578 49561606104 55756806867 70212275314 74342409156 99123212208 105318412971 111513613734 140424550628 148684818312 167270420601 210636825942 223027227468 280849101256 297369636624 315955238913 334540841202 421273651884 446054454936 501811261803 561698202512 631910477826 669081682404 842547303768 892108909872 947865716739 1003622523606 1263820955652 1338163364808 1685094607536 1895731433478 2007245047212 2527641911304 2676326729616 2843597150217 3791462866956 4014490094424 5055283822608 5687194300434 7582925733912 8028980188848 8530791450651 11374388600868 15165851467824 17061582901302 22748777201736 34123165802604 45497554403472 68246331605208 136492663210416