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54812370385152 = 283223790091313
BaseRepresentation
bin11000111011001111111111…
…10111011011100100000000
321012002000022100001101022200
430131213333313123210000
524141021213304311102
6312324242204033200
714355030430652142
oct1435477767334400
9235060270041280
1054812370385152
1116512883143956
126193007b32800
132477a272a25b3
14d76d0bb82c92
15650bdee4151c
hex31d9ffddb900

54812370385152 has 54 divisors (see below), whose sum is σ = 158037576598902. Its totient is φ = 18270790127616.

The previous prime is 54812370385147. The next prime is 54812370385193. The reversal of 54812370385152 is 25158307321845.

54812370385152 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 23 + 70 + 38 + 515 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48580676960256 + 6231693424896 = 6969984^2 + 2496336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11895043353 + ... + 11895047960.

Almost surely, 254812370385152 is an apocalyptic number.

It is an amenable number.

54812370385152 is an abundant number, since it is smaller than the sum of its proper divisors (103225206213750).

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

54812370385152 is a wasteful number, since it uses less digits than its factorization.

54812370385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23790091335 (or 23790091318 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 54812370385152 in words is "fifty-four trillion, eight hundred twelve billion, three hundred seventy million, three hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 23790091313 47580182626 71370273939 95160365252 142740547878 190320730504 214110821817 285481095756 380641461008 428221643634 570962191512 761282922016 856443287268 1141924383024 1522565844032 1712886574536 2283848766048 3045131688064 3425773149072 4567697532096 6090263376128 6851546298144 9135395064192 13703092596288 18270790128384 27406185192576 54812370385152