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5597132800 = 21152722397
BaseRepresentation
bin1010011011001110…
…10111100000000000
3112110001222210202211
411031213113200000
542430331222200
62323221551504
7255462562300
oct51547274000
915401883684
105597132800
112412487796
121102575594
136b27923cc
143b14dd600
1522b5a9aba
hex14d9d7800

5597132800 has 432 divisors, whose sum is σ = 17018754480. Its totient is φ = 1816657920.

The previous prime is 5597132789. The next prime is 5597132809. The reversal of 5597132800 is 82317955.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5597132809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57702352 + ... + 57702448.

It is an arithmetic number, because the mean of its divisors is an integer number (39395265).

Almost surely, 25597132800 is an apocalyptic number.

5597132800 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 5597132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509377240).

5597132800 is an abundant number, since it is smaller than the sum of its proper divisors (11421621680).

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

5597132800 is a wasteful number, since it uses less digits than its factorization.

5597132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5597132800 is about 74813.9879968980. The cubic root of 5597132800 is about 1775.5048805137.

The spelling of 5597132800 in words is "five billion, five hundred ninety-seven million, one hundred thirty-two thousand, eight hundred".