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56744834601 = 37213137216743
BaseRepresentation
bin110100110110010000…
…010111011000101001
312102110122102021021210
4310312100113120221
51412203134201401
642022422423333
74046122064400
oct646620273051
9172418367253
1056744834601
1122079a86124
12abb7891b49
135474245110
142a64428637
151721aa94d6
hexd36417629

56744834601 has 48 divisors (see below), whose sum is σ = 95474865024. Its totient is φ = 29712727296.

The previous prime is 56744834593. The next prime is 56744834609. The reversal of 56744834601 is 10643844765.

It is an interprime number because it is at equal distance from previous prime (56744834593) and next prime (56744834609).

It is not a de Polignac number, because 56744834601 - 23 = 56744834593 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56744834609) 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, 153436 + ... + 370178.

It is an arithmetic number, because the mean of its divisors is an integer number (1989059688).

Almost surely, 256744834601 is an apocalyptic number.

It is an amenable number.

56744834601 is a deficient number, since it is larger than the sum of its proper divisors (38730030423).

56744834601 is a wasteful number, since it uses less digits than its factorization.

56744834601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216910 (or 216903 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 56744834601 in words is "fifty-six billion, seven hundred forty-four million, eight hundred thirty-four thousand, six hundred one".

Divisors: 1 3 7 13 21 39 49 91 137 147 273 411 637 959 1781 1911 2877 5343 6713 12467 20139 37401 87269 216743 261807 650229 1517201 2817659 4551603 8452977 10620407 19723613 29693791 31861221 59170839 89081373 138065291 207856537 386019283 414195873 623569611 1158057849 1454995759 2702134981 4364987277 8106404943 18914944867 56744834601