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553039204032 = 263272192344839
BaseRepresentation
bin10000000110000111011…
…01001000111011000000
31221212111020211110000200
420003003231020323000
533030111014012112
61102021313245200
754645553446300
oct10030355107300
91855436743020
10553039204032
111a35a7238517
128b223863800
13401c774a483
141caa5443600
15e5bc212cdc
hex80c3b48ec0

553039204032 has 504 divisors, whose sum is σ = 2025483782400. Its totient is φ = 143183158272.

The previous prime is 553039204019. The next prime is 553039204033. The reversal of 553039204032 is 230402930355.

553039204032 is a `hidden beast` number, since 5 + 530 + 3 + 92 + 0 + 4 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5530392040322 (a number of 24 digits) contains 22 as substring.

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 (553039204033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12311469 + ... + 12356307.

Almost surely, 2553039204032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553039204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012741891200).

553039204032 is an abundant number, since it is smaller than the sum of its proper divisors (1472444578368).

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

553039204032 is a wasteful number, since it uses less digits than its factorization.

553039204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44913 (or 44893 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 553039204032 in words is "five hundred fifty-three billion, thirty-nine million, two hundred four thousand, thirty-two".