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64242046606464 = 273261914191237
BaseRepresentation
bin11101001101101100001000…
…10111100001110010000000
322102110110221200110211011200
432212312010113201302000
531410020202412401324
6344344215551141200
716350222542233206
oct1646660427416200
9272413850424150
1064242046606464
1119518998582711
127256657514800
1329acccaa6058c
1411c1490073076
1576613a4d5ec9
hex3a6d845e1c80

64242046606464 has 96 divisors (see below), whose sum is σ = 187893725146140. Its totient is φ = 21062966077440.

The previous prime is 64242046606393. The next prime is 64242046606489. The reversal of 64242046606464 is 46460664024246.

64242046606464 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 20 + 4 + 6 + 606 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63821053260864 + 420993345600 = 7988808^2 + 648840^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 64242046606464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457025347 + ... + 457165890.

Almost surely, 264242046606464 is an apocalyptic number.

64242046606464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64242046606464 is an abundant number, since it is smaller than the sum of its proper divisors (123651678539676).

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

64242046606464 is a wasteful number, since it uses less digits than its factorization.

64242046606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914191318 (or 914191303 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 54.

The spelling of 64242046606464 in words is "sixty-four trillion, two hundred forty-two billion, forty-six million, six hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 914191237 1828382474 2742573711 3656764948 5485147422 7313529896 8227721133 10970294844 14627059792 16455442266 21940589688 29254119584 32910884532 43881179376 55765665457 58508239168 65821769064 87762358752 111531330914 117016478336 131643538128 167296996371 175524717504 223062661828 263287076256 334593992742 351049435008 446125323656 501890989113 526574152512 669187985484 892250647312 1003781978226 1053148305024 1338375970968 1784501294624 2007563956452 2676751941936 3569002589248 4015127912904 5353503883872 7138005178496 8030255825808 10707007767744 16060511651616 21414015535488 32121023303232 64242046606464