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56801694321 = 32191932516857
BaseRepresentation
bin110100111001101001…
…010001001001110001
312102121121102001011100
4310321221101021301
51412312213204241
642032213235013
74050412302231
oct647151211161
9172547361140
1056801694321
11220a9091729
12b012932a69
135482c62918
142a6bbc9cc1
151726a8b9b6
hexd39a51271

56801694321 has 48 divisors (see below), whose sum is σ = 87171215040. Its totient is φ = 35541504000.

The previous prime is 56801694251. The next prime is 56801694349. The reversal of 56801694321 is 12349610865.

56801694321 is a `hidden beast` number, since 56 + 8 + 0 + 169 + 432 + 1 = 666.

It is not a de Polignac number, because 56801694321 - 219 = 56801170033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56801693321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8280325 + ... + 8287181.

It is an arithmetic number, because the mean of its divisors is an integer number (1816066980).

Almost surely, 256801694321 is an apocalyptic number.

It is an amenable number.

56801694321 is a deficient number, since it is larger than the sum of its proper divisors (30369520719).

56801694321 is a wasteful number, since it uses less digits than its factorization.

56801694321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 56801694321 in words is "fifty-six billion, eight hundred one million, six hundred ninety-four thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 171 193 251 579 753 1737 2259 3667 4769 6857 11001 14307 20571 33003 42921 48443 61713 130283 145329 390849 435987 920417 1172547 1323401 1721107 2761251 3970203 5163321 8283753 11910609 15489963 25144619 32701033 75433857 98103099 226301571 294309297 332173651 996520953 2989562859 6311299369 18933898107 56801694321