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45855587232 = 253271323127599
BaseRepresentation
bin101010101101001101…
…001011101110100000
311101100202101012002200
4222231031023232200
51222403012242412
633022112213200
73212226026460
oct525515135640
9141322335080
1045855587232
11184a1313434
128a78b3a200
13442a257590
142310147ba0
1512d5ae59dc
hexaad34bba0

45855587232 has 576 divisors, whose sum is σ = 169073049600. Its totient is φ = 11457718272.

The previous prime is 45855587207. The next prime is 45855587233. The reversal of 45855587232 is 23278555854.

It is a happy number.

45855587232 is a `hidden beast` number, since 4 + 5 + 8 + 55 + 587 + 2 + 3 + 2 = 666.

45855587232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458555872322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45855587233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76553269 + ... + 76553867.

It is an arithmetic number, because the mean of its divisors is an integer number (293529600).

Almost surely, 245855587232 is an apocalyptic number.

45855587232 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 45855587232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536524800).

45855587232 is an abundant number, since it is smaller than the sum of its proper divisors (123217462368).

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

45855587232 is a wasteful number, since it uses less digits than its factorization.

45855587232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 13440000, while the sum is 54.

The spelling of 45855587232 in words is "forty-five billion, eight hundred fifty-five million, five hundred eighty-seven thousand, two hundred thirty-two".