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45015118848 = 210347314161
BaseRepresentation
bin101001111011000111…
…000011010000000000
311022012011212222020000
4221323013003100000
51214142332300343
632402450120000
73152342124360
oct517307032000
9138164788200
1045015118848
11180aa952067
128883580000
1343250a58cb
1422706869a0
151286e27ed3
hexa7b1c3400

45015118848 has 880 divisors, whose sum is σ = 165114098688. Its totient is φ = 11943936000.

The previous prime is 45015118831. The next prime is 45015118859. The reversal of 45015118848 is 84881151054.

45015118848 is a `hidden beast` number, since 4 + 50 + 1 + 511 + 8 + 84 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 737952738 + ... + 737952798.

Almost surely, 245015118848 is an apocalyptic number.

45015118848 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 45015118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557049344).

45015118848 is an abundant number, since it is smaller than the sum of its proper divisors (120098979840).

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

45015118848 is a wasteful number, since it uses less digits than its factorization.

45015118848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 45015118848 in words is "forty-five billion, fifteen million, one hundred eighteen thousand, eight hundred forty-eight".