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56325322800 = 24325215645923
BaseRepresentation
bin110100011101010000…
…000011100000110000
312101101102000212021200
4310131100003200300
51410323240312200
641513035051200
74032536226045
oct643520034060
9171342025250
1056325322800
11219841a375a
12aabb2a0b00
135408361696
142a248251cc
1516e9d3e800
hexd1d403830

56325322800 has 90 divisors (see below), whose sum is σ = 195464528532. Its totient is φ = 15020085120.

The previous prime is 56325322799. The next prime is 56325322853. The reversal of 56325322800 is 822352365.

56325322800 is a `hidden beast` number, since 5 + 6 + 325 + 322 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7819362 + ... + 7826561.

Almost surely, 256325322800 is an apocalyptic number.

56325322800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56325322800 is an abundant number, since it is smaller than the sum of its proper divisors (139139205732).

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

56325322800 is a wasteful number, since it uses less digits than its factorization.

56325322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15645947 (or 15645933 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56325322800 in words is "fifty-six billion, three hundred twenty-five million, three hundred twenty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 15645923 31291846 46937769 62583692 78229615 93875538 125167384 140813307 156459230 187751076 234688845 250334768 281626614 312918460 375502152 391148075 469377690 563253228 625836920 704066535 751004304 782296150 938755380 1126506456 1173444225 1251673840 1408133070 1564592300 1877510760 2253012912 2346888450 2816266140 3129184600 3520332675 3755021520 4693776900 5632532280 6258369200 7040665350 9387553800 11265064560 14081330700 18775107600 28162661400 56325322800