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56720410604460 = 2232529311201291853
BaseRepresentation
bin11001110010110001111111…
…11011001111001110101100
321102211102021221100100110100
430321120333323033032230
524413301400103320320
6320344555155511100
714642625436142301
oct1471307773171654
9242742257310410
1056720410604460
1117088a9a0a7389
1264409668b8490
1325859339ac945
1410013d53490a8
156856649c6790
hex33963fecf3ac

56720410604460 has 288 divisors, whose sum is σ = 183879787553280. Its totient is φ = 14120967168000.

The previous prime is 56720410604453. The next prime is 56720410604503. The reversal of 56720410604460 is 6440601402765.

56720410604460 is a `hidden beast` number, since 5 + 6 + 7 + 20 + 4 + 10 + 604 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194199894 + ... + 194491746.

It is an arithmetic number, because the mean of its divisors is an integer number (638471484560).

Almost surely, 256720410604460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56720410604460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91939893776640).

56720410604460 is an abundant number, since it is smaller than the sum of its proper divisors (127159376948820).

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

56720410604460 is a wasteful number, since it uses less digits than its factorization.

56720410604460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293129 (or 293124 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 56720410604460 in words is "fifty-six trillion, seven hundred twenty billion, four hundred ten million, six hundred four thousand, four hundred sixty".