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59204468000 = 255314801117
BaseRepresentation
bin110111001000110111…
…000111110100100000
312122211001122121000002
4313020313013310200
51432222320434000
643110445115132
74164066450266
oct671067076440
9178731577002
1059204468000
11231214190a7
12b583558aa8
1357769acbb2
142c18d6c436
1518179ae8d5
hexdc8dc7d20

59204468000 has 48 divisors (see below), whose sum is σ = 145465387704. Its totient is φ = 23681785600.

The previous prime is 59204467997. The next prime is 59204468003. The reversal of 59204468000 is 86440295.

59204468000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59204467997) and next prime (59204468003).

It can be written as a sum of positive squares in 4 ways, for example, as 34463694736 + 24740773264 = 185644^2 + 157292^2 .

It is not an unprimeable number, because it can be changed into a prime (59204468003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7396559 + ... + 7404558.

Almost surely, 259204468000 is an apocalyptic number.

59204468000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

59204468000 is an abundant number, since it is smaller than the sum of its proper divisors (86260919704).

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

59204468000 is a wasteful number, since it uses less digits than its factorization.

59204468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801142 (or 14801124 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 59204468000 in words is "fifty-nine billion, two hundred four million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 14801117 29602234 59204468 74005585 118408936 148011170 236817872 296022340 370027925 473635744 592044680 740055850 1184089360 1480111700 1850139625 2368178720 2960223400 3700279250 5920446800 7400558500 11840893600 14801117000 29602234000 59204468000