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57235647144 = 23313773237319
BaseRepresentation
bin110101010011100000…
…101010101010101000
312110201211222010112010
4311103200222222220
51414204311202034
642143234315520
74064231654634
oct652340525250
9173654863463
1057235647144
1122301037925
12b114128ba0
135521b31440
142aad6abdc4
15174ec0a3e9
hexd5382aaa8

57235647144 has 64 divisors (see below), whose sum is σ = 154295971200. Its totient is φ = 17588111616.

The previous prime is 57235647127. The next prime is 57235647167. The reversal of 57235647144 is 44174653275.

It is a junction number, because it is equal to n+sod(n) for n = 57235647093 and 57235647102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122517 + ... + 359835.

It is an arithmetic number, because the mean of its divisors is an integer number (2410874550).

Almost surely, 257235647144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57235647144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77147985600).

57235647144 is an abundant number, since it is smaller than the sum of its proper divisors (97060324056).

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

57235647144 is a wasteful number, since it uses less digits than its factorization.

57235647144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238114 (or 238110 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The spelling of 57235647144 in words is "fifty-seven billion, two hundred thirty-five million, six hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 773 1546 2319 3092 4638 6184 9276 10049 18552 20098 30147 40196 60294 80392 120588 237319 241176 474638 711957 949276 1423914 1898552 2847828 3085147 5695656 6170294 9255441 12340588 18510882 24681176 37021764 74043528 183447587 366895174 550342761 733790348 1100685522 1467580696 2201371044 2384818631 4402742088 4769637262 7154455893 9539274524 14308911786 19078549048 28617823572 57235647144