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45197875008 = 26321113312571
BaseRepresentation
bin101010000110000000…
…001101011101000000
311022122220202221112200
4222012000031131000
51220031124000013
632432535153200
73160021412226
oct520600153500
9138586687480
1045197875008
1118194027510
128914815800
134353c03150
14228aa5ab16
151297ec7e73
hexa8600d740

45197875008 has 504 divisors, whose sum is σ = 157543914528. Its totient is φ = 12213504000.

The previous prime is 45197875001. The next prime is 45197875087. The reversal of 45197875008 is 80057879154.

45197875008 is a `hidden beast` number, since 4 + 51 + 9 + 7 + 87 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45197875001) 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, 79155363 + ... + 79155933.

It is an arithmetic number, because the mean of its divisors is an integer number (312587132).

Almost surely, 245197875008 is an apocalyptic number.

45197875008 is a gapful number since it is divisible by the number (48) 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 45197875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771957264).

45197875008 is an abundant number, since it is smaller than the sum of its proper divisors (112346039520).

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

45197875008 is a wasteful number, since it uses less digits than its factorization.

45197875008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 45197875008 in words is "forty-five billion, one hundred ninety-seven million, eight hundred seventy-five thousand, eight".