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55429790400 = 263452835153
BaseRepresentation
bin110011100111110111…
…110111101011000000
312022001222221002210000
4303213313313223000
51402010011243100
641244124440000
74001413305315
oct634767675300
9168058832700
1055429790400
1121564742a36
12a8ab3a9000
1352c497065a
14297b90cd0c
1516963e6900
hexce7df7ac0

55429790400 has 420 divisors, whose sum is σ = 206240752872. Its totient is φ = 14600355840.

The previous prime is 55429790369. The next prime is 55429790413. The reversal of 55429790400 is 409792455.

55429790400 is a `hidden beast` number, since 554 + 2 + 9 + 7 + 90 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10754224 + ... + 10759376.

Almost surely, 255429790400 is an apocalyptic number.

55429790400 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 55429790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103120376436).

55429790400 is an abundant number, since it is smaller than the sum of its proper divisors (150810962472).

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

55429790400 is a wasteful number, since it uses less digits than its factorization.

55429790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 55429790400 in words is "fifty-five billion, four hundred twenty-nine million, seven hundred ninety thousand, four hundred".