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553901939136 = 2632713171135501
BaseRepresentation
bin10000000111101110010…
…00001101100111000000
31221221201101012221002200
420003313020031213000
533033342344023021
61102243052513200
755006130541060
oct10036710154700
91857641187080
10553901939136
111a39aa228137
128b42477b800
13403043c7210
141cb47c5d3a0
15e61cd2d126
hex80f720d9c0

553901939136 has 672 divisors, whose sum is σ = 2087675710848. Its totient is φ = 136249344000.

The previous prime is 553901939117. The next prime is 553901939177. The reversal of 553901939136 is 631939109355.

553901939136 is a `hidden beast` number, since 5 + 539 + 0 + 1 + 93 + 9 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 100688386 + ... + 100693886.

It is an arithmetic number, because the mean of its divisors is an integer number (3106660284).

Almost surely, 2553901939136 is an apocalyptic number.

553901939136 is a gapful number since it is divisible by the number (56) 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 553901939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043837855424).

553901939136 is an abundant number, since it is smaller than the sum of its proper divisors (1533773771712).

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

553901939136 is a wasteful number, since it uses less digits than its factorization.

553901939136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 2952450, while the sum is 54.

The spelling of 553901939136 in words is "five hundred fifty-three billion, nine hundred one million, nine hundred thirty-nine thousand, one hundred thirty-six".