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46115120128 = 2107111992939
BaseRepresentation
bin101010111100101011…
…001110010000000000
311102000211201211022011
4222330223032100000
51223420432321003
633103543022304
73221530024240
oct527453162000
9142024654264
1046115120128
1118614868330
128b2ba3a994
13446bc5703c
1423367c5b20
1512ed7ae46d
hexabcace400

46115120128 has 176 divisors, whose sum is σ = 115549056000. Its totient is φ = 17870561280.

The previous prime is 46115120111. The next prime is 46115120141. The reversal of 46115120128 is 82102151164.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 46115120128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15689283 + ... + 15692221.

Almost surely, 246115120128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46115120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57774528000).

46115120128 is an abundant number, since it is smaller than the sum of its proper divisors (69433935872).

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

46115120128 is a wasteful number, since it uses less digits than its factorization.

46115120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 46115120128 in words is "forty-six billion, one hundred fifteen million, one hundred twenty thousand, one hundred twenty-eight".