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57256832656 = 2416323672
BaseRepresentation
bin110101010100110001…
…011110111010010000
312110210022211110120201
4311110301132322100
51414230222121111
642145312344544
74064610022162
oct652461367220
9173708743521
1057256832656
1122311a97911
12b11b245154
13552633b34a
142ab2424932
1517519e26c1
hexd54c5ee90

57256832656 has 45 divisors (see below), whose sum is σ = 111924842211. Its totient is φ = 28375253856.

The previous prime is 57256832639. The next prime is 57256832683. The reversal of 57256832656 is 65623865275.

It is a happy number.

The square root of 57256832656 is 239284.

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

57256832656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57256832597 and 57256832606.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 156012985 + ... + 156013351.

Almost surely, 257256832656 is an apocalyptic number.

57256832656 is the 239284-th square number.

It is an amenable number.

57256832656 is a deficient number, since it is larger than the sum of its proper divisors (54668009555).

57256832656 is an frugal number, since it uses more digits than its factorization.

57256832656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 532 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 55.

The spelling of 57256832656 in words is "fifty-seven billion, two hundred fifty-six million, eight hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 163 326 367 652 734 1304 1468 2608 2936 5872 26569 53138 59821 106276 119642 134689 212552 239284 269378 425104 478568 538756 957136 1077512 2155024 9750823 19501646 21954307 39003292 43908614 78006584 87817228 156013168 175634456 351268912 3578552041 7157104082 14314208164 28628416328 57256832656