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54664465800 = 23352714898741
BaseRepresentation
bin110010111010010000…
…011000110110001000
312020002122211120210110
4302322100120312020
51343423100401200
641040145114320
73643431202260
oct627220306610
9166078746713
1054664465800
112120173626a
12a7170289a0
13520223b869
14290800c7a0
15164e11db50
hexcba418d88

54664465800 has 192 divisors, whose sum is σ = 193820630400. Its totient is φ = 12484915200.

The previous prime is 54664465799. The next prime is 54664465847. The reversal of 54664465800 is 856446645.

It is a self number, because there is not a number n which added to its sum of digits gives 54664465800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6249430 + ... + 6258170.

It is an arithmetic number, because the mean of its divisors is an integer number (1009482450).

Almost surely, 254664465800 is an apocalyptic number.

54664465800 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 54664465800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96910315200).

54664465800 is an abundant number, since it is smaller than the sum of its proper divisors (139156164600).

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

54664465800 is a wasteful number, since it uses less digits than its factorization.

54664465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 54664465800 in words is "fifty-four billion, six hundred sixty-four million, four hundred sixty-five thousand, eight hundred".