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55017923400 = 2332521110725969
BaseRepresentation
bin110011001111010100…
…101110001101001000
312021000021221002110200
4303033110232031020
51400134042022100
641135213012200
73655252430016
oct631724561510
9167007832420
1055017923400
1121373202190
12a7b5484060
13525a53577b
14293cd398b6
15167018be00
hexccf52e348

55017923400 has 288 divisors, whose sum is σ = 203457290400. Its totient is φ = 13212518400.

The previous prime is 55017923383. The next prime is 55017923437. The reversal of 55017923400 is 432971055.

55017923400 is a `hidden beast` number, since 550 + 1 + 79 + 2 + 34 + 0 + 0 = 666.

55017923400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2105616 + ... + 2131584.

It is an arithmetic number, because the mean of its divisors is an integer number (706448925).

Almost surely, 255017923400 is an apocalyptic number.

55017923400 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 55017923400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101728645200).

55017923400 is an abundant number, since it is smaller than the sum of its proper divisors (148439367000).

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

55017923400 is a wasteful number, since it uses less digits than its factorization.

55017923400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26109 (or 26097 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 55017923400 in words is "fifty-five billion, seventeen million, nine hundred twenty-three thousand, four hundred".