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55117033200 = 24345210116843
BaseRepresentation
bin110011010101001110…
…110010111011110000
312021021012102101120000
4303111032302323300
51400334430030300
641153113150000
73660565023615
oct632516627360
9167235371500
1055117033200
1121414145909
12a8226bb300
135274c27018
14294c17850c
151678c17c00
hexcd53b2ef0

55117033200 has 300 divisors, whose sum is σ = 199780990728. Its totient is φ = 14551488000.

The previous prime is 55117033193. The next prime is 55117033211. The reversal of 55117033200 is 233071155.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3263979 + ... + 3280821.

Almost surely, 255117033200 is an apocalyptic number.

55117033200 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 55117033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99890495364).

55117033200 is an abundant number, since it is smaller than the sum of its proper divisors (144663957528).

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

55117033200 is a wasteful number, since it uses less digits than its factorization.

55117033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16974 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 55117033200 in words is "fifty-five billion, one hundred seventeen million, thirty-three thousand, two hundred".