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56030677264 = 24172594
BaseRepresentation
bin110100001011101100…
…000100100100010000
312100121212121022121001
4310023230010210100
51404222323133024
641423511511344
74022330620132
oct641354044420
9170555538531
1056030677264
1121842947151
12aa38688554
13538c2b9b03
1429d7647052
1516ce03c244
hexd0bb04910

56030677264 has 75 divisors (see below), whose sum is σ = 117309216277. Its totient is φ = 25920472832.

The previous prime is 56030677253. The next prime is 56030677277. The reversal of 56030677264 is 46277603065.

The square root of 56030677264 is 236708.

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

It can be written as a sum of positive squares in only one way, i.e., 43622499600 + 12408177664 = 208860^2 + 111392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 949672467 + ... + 949672525.

Almost surely, 256030677264 is an apocalyptic number.

56030677264 is the 236708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56030677264

56030677264 is an abundant number, since it is smaller than the sum of its proper divisors (61278539013).

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

56030677264 is an frugal number, since it uses more digits than its factorization.

56030677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 56030677264 in words is "fifty-six billion, thirty million, six hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 289 472 578 944 1003 1156 2006 2312 3481 4012 4624 6962 8024 13924 16048 17051 27848 34102 55696 59177 68204 118354 136408 205379 236708 272816 410758 473416 821516 946832 1006009 1643032 2012018 3286064 3491443 4024036 6982886 8048072 12117361 13965772 16096144 24234722 27931544 48469444 55863088 59354531 96938888 118709062 193877776 205995137 237418124 411990274 474836248 823980548 949672496 1647961096 3295922192 3501917329 7003834658 14007669316 28015338632 56030677264