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92145916470144 = 2731912629648639
BaseRepresentation
bin10100111100111001100100…
…100111100110001110000000
3110002021001201100111211102110
4110330321210213212032000
544034204314104021034
6523551125531015320
725260215465513265
oct2474714447461600
9402231640454373
1092145916470144
11273a6955676729
12a4025b4b9a540
133c55426ab48a4
1418a7c5986926c
15a9bdd7bb3de9
hex53ce649e6380

92145916470144 has 64 divisors (see below), whose sum is σ = 257644832256000. Its totient is φ = 29098710461952.

The previous prime is 92145916470071. The next prime is 92145916470199. The reversal of 92145916470144 is 44107461954129.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6314817024 + ... + 6314831615.

It is an arithmetic number, because the mean of its divisors is an integer number (4025700504000).

Almost surely, 292145916470144 is an apocalyptic number.

It is an amenable number.

92145916470144 is an abundant number, since it is smaller than the sum of its proper divisors (165498915785856).

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

92145916470144 is a wasteful number, since it uses less digits than its factorization.

92145916470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629648675 (or 12629648663 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 92145916470144 in words is "ninety-two trillion, one hundred forty-five billion, nine hundred sixteen million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 12629648639 25259297278 37888945917 50518594556 75777891834 101037189112 151555783668 202074378224 239963324141 303111567336 404148756448 479926648282 606223134672 719889972423 808297512896 959853296564 1212446269344 1439779944846 1616595025792 1919706593128 2424892538688 2879559889692 3839413186256 4849785077376 5759119779384 7678826372512 11518239558768 15357652745024 23036479117536 30715305490048 46072958235072 92145916470144