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56484176896 = 2107210612
BaseRepresentation
bin110100100110101110…
…000010010000000000
312101210110221111010201
4310212232002100000
51411134422130041
641540511534544
74036505403400
oct644656022000
9171713844121
1056484176896
1121a55933134
12ab4452a454
1354322406a4
142a3b976800
151708c6c631
hexd26b82400

56484176896 has 99 divisors (see below), whose sum is σ = 131471913657. Its totient is φ = 24184688640.

The previous prime is 56484176783. The next prime is 56484176909. The reversal of 56484176896 is 69867148465.

The square root of 56484176896 is 237664.

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., 37196522496 + 19287654400 = 192864^2 + 138880^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 53236206 + ... + 53237266.

Almost surely, 256484176896 is an apocalyptic number.

56484176896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

56484176896 is the 237664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56484176896

56484176896 is an abundant number, since it is smaller than the sum of its proper divisors (74987736761).

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

56484176896 is an frugal number, since it uses more digits than its factorization.

56484176896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 1070 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

Multiplying 56484176896 by its sum of digits (64), we get a square (3614987321344 = 19013122).

56484176896 divided by its sum of digits (64) gives a square (882565264 = 297082).

The spelling of 56484176896 in words is "fifty-six billion, four hundred eighty-four million, one hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1061 1568 1792 2122 3136 3584 4244 6272 7168 7427 8488 12544 14854 16976 25088 29708 33952 50176 51989 59416 67904 103978 118832 135808 207956 237664 271616 415912 475328 543232 831824 950656 1086464 1125721 1663648 1901312 2251442 3327296 3802624 4502884 6654592 7605248 7880047 9005768 13309184 15760094 18011536 26618368 31520188 36023072 53236736 55160329 63040376 72046144 110320658 126080752 144092288 220641316 252161504 288184576 441282632 504323008 576369152 882565264 1008646016 1152738304 1765130528 2017292032 3530261056 4034584064 7060522112 8069168128 14121044224 28242088448 56484176896