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56000510500 = 225311101100811
BaseRepresentation
bin110100001001111000…
…111111101000100100
312100112202211200120111
4310021320333220210
51404142112314000
641420513142404
74021513325314
oct641170775044
9170482750514
1056000510500
1121827912440
12aa2a55aa04
135385c86c5c
1429d3633444
1516cb57dcba
hexd09e3fa24

56000510500 has 96 divisors (see below), whose sum is σ = 134746125696. Its totient is φ = 20162000000.

The previous prime is 56000510477. The next prime is 56000510539. The reversal of 56000510500 is 501500065.

56000510500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560005105002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505095 + ... + 605905.

It is an arithmetic number, because the mean of its divisors is an integer number (1403605476).

Almost surely, 256000510500 is an apocalyptic number.

56000510500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56000510500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67373062848).

56000510500 is an abundant number, since it is smaller than the sum of its proper divisors (78745615196).

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

56000510500 is a wasteful number, since it uses less digits than its factorization.

56000510500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100942 (or 100930 counting only the distinct ones).

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

The spelling of 56000510500 in words is "fifty-six billion, five hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 202 220 250 275 404 500 505 550 1010 1100 1111 1375 2020 2222 2525 2750 4444 5050 5500 5555 10100 11110 12625 22220 25250 27775 50500 55550 100811 111100 138875 201622 277750 403244 504055 555500 1008110 1108921 2016220 2217842 2520275 4435684 5040550 5544605 10081100 10181911 11089210 12601375 20363822 22178420 25202750 27723025 40727644 50405500 50909555 55446050 101819110 110892100 112001021 138615125 203638220 224002042 254547775 277230250 448004084 509095550 554460500 560005105 1018191100 1120010210 1272738875 2240020420 2545477750 2800025525 5090955500 5600051050 11200102100 14000127625 28000255250 56000510500