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56595934201 = 1946592
BaseRepresentation
bin110100101101011000…
…010110101111111001
312102002021020100100011
4310231120112233321
51411402024343301
641555543141521
74042333334422
oct645530265771
9172067210304
1056595934201
1122002a25044
12ab75a448a1
13544c43c881
142a4c748649
151713995a51
hexd2d616bf9

56595934201 has 15 divisors (see below), whose sum is σ = 59830918901. Its totient is φ = 53535839364.

The previous prime is 56595934189. The next prime is 56595934229. The reversal of 56595934201 is 10243959565.

The square root of 56595934201 is 237899.

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

It is not a de Polignac number, because 56595934201 - 211 = 56595932153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56595937201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85881210 + ... + 85881868.

Almost surely, 256595934201 is an apocalyptic number.

56595934201 is the 237899-th square number.

56595934201 is the 118950-th centered octagonal number.

It is an amenable number.

56595934201 is a deficient number, since it is larger than the sum of its proper divisors (3234984700).

56595934201 is an frugal number, since it uses more digits than its factorization.

56595934201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 49.

Multiplying 56595934201 by its sum of digits (49), we get a square (2773200775849 = 16652932).

The spelling of 56595934201 in words is "fifty-six billion, five hundred ninety-five million, nine hundred thirty-four thousand, two hundred one".

Divisors: 1 19 361 659 6859 12521 130321 237899 434281 4520081 8251339 85881539 156775441 2978733379 56595934201