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56288037001 = 72338932
BaseRepresentation
bin110100011011000001…
…110100100010001001
312101021210212112210011
4310123001310202021
51410234214141001
641505223551521
74031604264100
oct643301644211
9171253775704
1056288037001
1121965147349
12aaaa8bb5a1
135400708391
142a1d8bb037
1516e6926d51
hexd1b074889

56288037001 has 9 divisors (see below), whose sum is σ = 65479852551. Its totient is φ = 48245465352.

The previous prime is 56288036969. The next prime is 56288037037. The reversal of 56288037001 is 10073088265.

The square root of 56288037001 is 237251.

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., 42570005625 + 13718031376 = 206325^2 + 117124^2 .

It is not a de Polignac number, because 56288037001 - 25 = 56288036969 is a prime.

It is a super-3 number, since 3×562880370013 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56288037041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1643811 + ... + 1677703.

Almost surely, 256288037001 is an apocalyptic number.

56288037001 is the 237251-st square number.

56288037001 is the 118626-th centered octagonal number.

It is an amenable number.

56288037001 is a deficient number, since it is larger than the sum of its proper divisors (9191815550).

56288037001 is an frugal number, since it uses more digits than its factorization.

56288037001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67800 (or 33900 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 56288037001 in words is "fifty-six billion, two hundred eighty-eight million, thirty-seven thousand, one".

Divisors: 1 7 49 33893 237251 1660757 1148735449 8041148143 56288037001