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56000505001 = 72171311932659
BaseRepresentation
bin110100001001111000…
…111110010010101001
312100112202211102000211
4310021320332102221
51404142112130001
641420513101121
74021513303300
oct641170762251
9170482742024
1056000505001
11218279092a1
12aa2a5577a1
135385c845bc
1429d3631437
1516cb57c351
hexd09e3e4a9

56000505001 has 48 divisors (see below), whose sum is σ = 69888329280. Its totient is φ = 44582952960.

The previous prime is 56000504999. The next prime is 56000505017. The reversal of 56000505001 is 10050500065.

56000505001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56000505001 - 21 = 56000504999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56000505091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21059410 + ... + 21062068.

It is an arithmetic number, because the mean of its divisors is an integer number (1456006860).

Almost surely, 256000505001 is an apocalyptic number.

It is an amenable number.

56000505001 is a deficient number, since it is larger than the sum of its proper divisors (13887824279).

56000505001 is a wasteful number, since it uses less digits than its factorization.

56000505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

It can be divided in two parts, 56000 and 505001, that added together give a square (561001 = 7492).

The spelling of 56000505001 in words is "fifty-six billion, five hundred five thousand, one".

Divisors: 1 7 17 49 119 131 193 833 917 1351 2227 2659 3281 6419 9457 15589 18613 22967 25283 45203 109123 130291 160769 176981 316421 348329 429811 513187 1238867 2214947 2438303 3008677 3592309 5921593 8724179 17068121 21060739 25146163 41451151 61069253 67227497 290158057 427484771 470592479 1142867449 3294147353 8000072143 56000505001