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55476992102400 = 21233521119231163
BaseRepresentation
bin11001001110100101111100…
…11010000101000000000000
321021102112210222001210202000
430213102332122011000000
524232413334434234100
6313553440042024000
714454036403231161
oct1447227632050000
9237375728053660
1055476992102400
111674972983a040
12627b9904a8000
1324c55c503c1cb
14d9b15a62b768
1566313d144900
hex3274be685000

55476992102400 has 3744 divisors, whose sum is σ = 243701756375040. Its totient is φ = 12254478336000.

The previous prime is 55476992102393. The next prime is 55476992102407. The reversal of 55476992102400 is 420129967455.

It is a happy number.

55476992102400 is a `hidden beast` number, since 5 + 5 + 47 + 6 + 9 + 92 + 102 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (55476992102393) and next prime (55476992102407).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55476992102407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 340349644719 + ... + 340349644881.

Almost surely, 255476992102400 is an apocalyptic number.

55476992102400 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 55476992102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121850878187520).

55476992102400 is an abundant number, since it is smaller than the sum of its proper divisors (188224764272640).

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

55476992102400 is a wasteful number, since it uses less digits than its factorization.

55476992102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 55476992102400 in words is "fifty-five trillion, four hundred seventy-six billion, nine hundred ninety-two million, one hundred two thousand, four hundred".