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57155541768 = 23321324697201
BaseRepresentation
bin110101001110101111…
…000101101100001000
312110112021020100121100
4311032233011230020
51414023304314033
642131253341400
74062240042363
oct651657055410
9173467210540
1057155541768
112226a8a4536
12b0b1337860
13550b365100
142aa2bb90da
151747b85513
hexd4ebc5b08

57155541768 has 72 divisors (see below), whose sum is σ = 167619653370. Its totient is φ = 17586316800.

The previous prime is 57155541749. The next prime is 57155541769. The reversal of 57155541768 is 86714555175.

57155541768 is a `hidden beast` number, since 5 + 7 + 15 + 554 + 1 + 76 + 8 = 666.

57155541768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 30240514404 + 26915027364 = 173898^2 + 164058^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (57155541769) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2336433 + ... + 2360768.

Almost surely, 257155541768 is an apocalyptic number.

It is an amenable number.

57155541768 is an abundant number, since it is smaller than the sum of its proper divisors (110464111602).

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

57155541768 is a wasteful number, since it uses less digits than its factorization.

57155541768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697239 (or 4697219 counting only the distinct ones).

The product of its digits is 5880000, while the sum is 54.

The spelling of 57155541768 in words is "fifty-seven billion, one hundred fifty-five million, five hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 4697201 9394402 14091603 18788804 28183206 37577608 42274809 56366412 61063613 84549618 112732824 122127226 169099236 183190839 244254452 338198472 366381678 488508904 549572517 732763356 793826969 1099145034 1465526712 1587653938 2198290068 2381480907 3175307876 4396580136 4762961814 6350615752 7144442721 9525923628 14288885442 19051847256 28577770884 57155541768