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56879965000 = 235411375993
BaseRepresentation
bin110100111110010011…
…110110001101001000
312102211001200121100101
4310332103312031020
51412442232340000
642044051015144
74052352503515
oct647623661510
9172731617311
1056879965000
1122139291641
12b034b9a4b4
135496238b31
142a7836230c
15172d89ce6a
hexd3e4f6348

56879965000 has 40 divisors (see below), whose sum is σ = 133269769710. Its totient is φ = 22751984000.

The previous prime is 56879964961. The next prime is 56879965027. The reversal of 56879965000 is 56997865.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1069682436 + 55810282564 = 32706^2 + 236242^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5682997 + ... + 5692996.

Almost surely, 256879965000 is an apocalyptic number.

56879965000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56879965000 is an abundant number, since it is smaller than the sum of its proper divisors (76389804710).

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

56879965000 is a wasteful number, since it uses less digits than its factorization.

56879965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376019 (or 11376000 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

It can be divided in two parts, 5687996 and 5000, that added together give a square (5692996 = 23862).

The spelling of 56879965000 in words is "fifty-six billion, eight hundred seventy-nine million, nine hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11375993 22751986 45503972 56879965 91007944 113759930 227519860 284399825 455039720 568799650 1137599300 1421999125 2275198600 2843998250 5687996500 7109995625 11375993000 14219991250 28439982500 56879965000