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55900584000 = 2633531953257
BaseRepresentation
bin110100000011111011…
…110011100001000000
312100021210210220012000
4310003323303201000
51403441022142000
641402543304000
74016161060362
oct640373634100
9170253726160
1055900584000
1121786471158
12aa00bab000
13536b36aa51
1429c4260d32
1516c28e1000
hexd03ef3840

55900584000 has 896 divisors, whose sum is σ = 220816627200. Its totient is φ = 13801881600.

The previous prime is 55900583989. The next prime is 55900584007. The reversal of 55900584000 is 48500955.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (55900584007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217511872 + ... + 217512128.

Almost surely, 255900584000 is an apocalyptic number.

55900584000 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 55900584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110408313600).

55900584000 is an abundant number, since it is smaller than the sum of its proper divisors (164916043200).

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

55900584000 is a wasteful number, since it uses less digits than its factorization.

55900584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55900584000 in words is "fifty-five billion, nine hundred million, five hundred eighty-four thousand".