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55576998400 = 29527111731107
BaseRepresentation
bin110011110000101001…
…011011001000000000
312022110020221001012011
4303300221123020000
51402310202422100
641310503542304
74005151456210
oct636051331000
9168406831164
1055576998400
112162a848540
12a93075a994
135319302791
1429932ac240
1516a42c3bba
hexcf0a5b200

55576998400 has 960 divisors, whose sum is σ = 189389021184. Its totient is φ = 15630336000.

The previous prime is 55576998397. The next prime is 55576998481. The reversal of 55576998400 is 489967555.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519411147 + ... + 519411253.

Almost surely, 255576998400 is an apocalyptic number.

55576998400 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 55576998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94694510592).

55576998400 is an abundant number, since it is smaller than the sum of its proper divisors (133812022784).

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

55576998400 is a wasteful number, since it uses less digits than its factorization.

55576998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 55576998400 in words is "fifty-five billion, five hundred seventy-six million, nine hundred ninety-eight thousand, four hundred".