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45156556032 = 283721577643
BaseRepresentation
bin101010000011100010…
…100101110100000000
311022120001000201120020
4222003202211310000
51214440034243112
632424501413440
73156010251600
oct520342456400
9138501021506
1045156556032
11181727759a5
128902a0a280
134348497153
142285382c00
15129456548c
hexa838a5d00

45156556032 has 216 divisors, whose sum is σ = 140712770016. Its totient is φ = 12818018304.

The previous prime is 45156555973. The next prime is 45156556061. The reversal of 45156556032 is 23065565154.

It is a super-2 number, since 2×451565560322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5904403 + ... + 5912045.

Almost surely, 245156556032 is an apocalyptic number.

45156556032 is a gapful number since it is divisible by the number (42) 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 45156556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70356385008).

45156556032 is an abundant number, since it is smaller than the sum of its proper divisors (95556213984).

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

45156556032 is a wasteful number, since it uses less digits than its factorization.

45156556032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 45156556032 in words is "forty-five billion, one hundred fifty-six million, five hundred fifty-six thousand, thirty-two".