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46151423136 = 2535713229173
BaseRepresentation
bin101010111110110101…
…101101010010100000
311102010101001012200000
4222332311231102200
51224004231020021
633111321100000
73222450424020
oct527665552240
9142111035600
1046151423136
1118633303315
128b40027600
134476627c00
14233b555a80
151301a80b26
hexabed6d4a0

46151423136 has 864 divisors, whose sum is σ = 175248178560. Its totient is φ = 11684155392.

The previous prime is 46151423119. The next prime is 46151423159. The reversal of 46151423136 is 63132415164.

46151423136 is a `hidden beast` number, since 4 + 6 + 1 + 514 + 2 + 3 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 46151423136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266771146 + ... + 266771318.

It is an arithmetic number, because the mean of its divisors is an integer number (202833540).

Almost surely, 246151423136 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 46151423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87624089280).

46151423136 is an abundant number, since it is smaller than the sum of its proper divisors (129096755424).

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

46151423136 is a wasteful number, since it uses less digits than its factorization.

46151423136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 46151423136 in words is "forty-six billion, one hundred fifty-one million, four hundred twenty-three thousand, one hundred thirty-six".