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57371746576 = 2423322572
BaseRepresentation
bin110101011011100111…
…110110000100010000
312111002100001200211211
4311123213312010100
51414444131342301
642204535345504
74100503541164
oct653347660420
9174070050754
1057371746576
11223709453a1
12b151822294
1355440a4251
142ac37b8ca4
15175bb41051
hexd5b9f6110

57371746576 has 45 divisors (see below), whose sum is σ = 112072953391. Its totient is φ = 28451618816.

The previous prime is 57371746547. The next prime is 57371746577. The reversal of 57371746576 is 67564717375.

The square root of 57371746576 is 239524.

It is a perfect power (a square), and thus also a powerful number.

57371746576 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 4 ways, for example, as 6476386576 + 50895360000 = 80476^2 + 225600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57371746576.

It is not an unprimeable number, because it can be changed into a prime (57371746577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223236240 + ... + 223236496.

Almost surely, 257371746576 is an apocalyptic number.

57371746576 is the 239524-th square number.

It is an amenable number.

57371746576 is a deficient number, since it is larger than the sum of its proper divisors (54701206815).

57371746576 is an frugal number, since it uses more digits than its factorization.

57371746576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 492 counting only the distinct ones).

The product of its digits is 25930800, while the sum is 58.

The spelling of 57371746576 in words is "fifty-seven billion, three hundred seventy-one million, seven hundred forty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 233 257 466 514 932 1028 1864 2056 3728 4112 54289 59881 66049 108578 119762 132098 217156 239524 264196 434312 479048 528392 868624 958096 1056784 13952273 15389417 27904546 30778834 55809092 61557668 111618184 123115336 223236368 246230672 3585734161 7171468322 14342936644 28685873288 57371746576