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56011006560 = 2535116689597
BaseRepresentation
bin110100001010100001…
…000010001001100000
312100120111120221110110
4310022201002021200
51404202304202220
641421530131320
74022001462135
oct641241021140
9170514527413
1056011006560
1121832831273
12aa31b80b40
1353881c0542
1429d4ba658c
1516cc453be0
hexd0a842260

56011006560 has 48 divisors (see below), whose sum is σ = 176434672176. Its totient is φ = 14936268288.

The previous prime is 56011006537. The next prime is 56011006561. The reversal of 56011006560 is 6560011065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56011006561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58344319 + ... + 58345278.

It is an arithmetic number, because the mean of its divisors is an integer number (3675722337).

Almost surely, 256011006560 is an apocalyptic number.

It is an amenable number.

56011006560 is an abundant number, since it is smaller than the sum of its proper divisors (120423665616).

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

56011006560 is a wasteful number, since it uses less digits than its factorization.

56011006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116689615 (or 116689607 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 56011006560 in words is "fifty-six billion, eleven million, six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 116689597 233379194 350068791 466758388 583447985 700137582 933516776 1166895970 1400275164 1750343955 1867033552 2333791940 2800550328 3500687910 3734067104 4667583880 5601100656 7001375820 9335167760 11202201312 14002751640 18670335520 28005503280 56011006560