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46161757872 = 2433373286477
BaseRepresentation
bin101010111111011101…
…001000011010110000
311102011002111021021000
4222333131020122300
51224014402222442
633112330402000
73222634316316
oct527735103260
9142132437230
1046161757872
1118639121a1a
128b43590300
134478805c39
14233ca860b6
151302922d4c
hexabf7486b0

46161757872 has 80 divisors (see below), whose sum is σ = 132857037280. Its totient is φ = 15345946368.

The previous prime is 46161757843. The next prime is 46161757877. The reversal of 46161757872 is 27875716164.

46161757872 is a `hidden beast` number, since 4 + 6 + 1 + 61 + 7 + 578 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46161757877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17898 + ... + 304374.

It is an arithmetic number, because the mean of its divisors is an integer number (1660712966).

Almost surely, 246161757872 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 46161757872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66428518640).

46161757872 is an abundant number, since it is smaller than the sum of its proper divisors (86695279408).

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

46161757872 is a wasteful number, since it uses less digits than its factorization.

46161757872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286867 (or 286855 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 46161757872 in words is "forty-six billion, one hundred sixty-one million, seven hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 373 432 746 1119 1492 2238 2984 3357 4476 5968 6714 8952 10071 13428 17904 20142 26856 40284 53712 80568 161136 286477 572954 859431 1145908 1718862 2291816 2578293 3437724 4583632 5156586 6875448 7734879 10313172 13750896 15469758 20626344 30939516 41252688 61879032 106855921 123758064 213711842 320567763 427423684 641135526 854847368 961703289 1282271052 1709694736 1923406578 2564542104 2885109867 3846813156 5129084208 5770219734 7693626312 11540439468 15387252624 23080878936 46161757872