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55207526400 = 221345213
BaseRepresentation
bin110011011010101000…
…000000000000000000
312021111111200220220000
4303122220000000000
51401031111321100
641210104520000
73663044142315
oct633250000000
9167444626800
1055207526400
1121460233784
12a848a80000
13528a8bc5b0
14295a1b2d0c
151681b40900
hexcdaa00000

55207526400 has 660 divisors, whose sum is σ = 220259627742. Its totient is φ = 13589544960.

The previous prime is 55207526389. The next prime is 55207526513. The reversal of 55207526400 is 462570255.

55207526400 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 7 + 5 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30661410816 + 24546115584 = 175104^2 + 156672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246732794 + ... + 4246732806.

Almost surely, 255207526400 is an apocalyptic number.

55207526400 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 55207526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110129813871).

55207526400 is an abundant number, since it is smaller than the sum of its proper divisors (165052101342).

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

55207526400 is an frugal number, since it uses more digits than its factorization.

55207526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 55207526400 in words is "fifty-five billion, two hundred seven million, five hundred twenty-six thousand, four hundred".