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55340928000 = 210335367239
BaseRepresentation
bin110011100010100100…
…111000110000000000
312021211210201102111000
4303202210320300000
51401314234144000
641231232052000
73666254061261
oct634244706000
9167753642430
1055340928000
1121519569336
12a885694000
1352ac429457
14296dbba968
15168d6e2000
hexce2938c00

55340928000 has 704 divisors, whose sum is σ = 208459929600. Its totient is φ = 14476492800.

The previous prime is 55340927987. The next prime is 55340928023. The reversal of 55340928000 is 82904355.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231551881 + ... + 231552119.

Almost surely, 255340928000 is an apocalyptic number.

55340928000 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 55340928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104229964800).

55340928000 is an abundant number, since it is smaller than the sum of its proper divisors (153119001600).

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

55340928000 is a wasteful number, since it uses less digits than its factorization.

55340928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 55340928000 in words is "fifty-five billion, three hundred forty million, nine hundred twenty-eight thousand".