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46152344161 = 7113782919541
BaseRepresentation
bin101010111110111001…
…001110001001100001
311102010102210000002001
4222332321032021201
51224010000003121
633111352524001
73222461311150
oct527671161141
9142112700061
1046152344161
11186338822a0
128b403b0601
13447688b1b1
14233b715597
151301bb3991
hexabee4e261

46152344161 has 32 divisors (see below), whose sum is σ = 59170049280. Its totient is φ = 34946899200.

The previous prime is 46152344153. The next prime is 46152344239. The reversal of 46152344161 is 16144325164.

It is a cyclic number.

It is not a de Polignac number, because 46152344161 - 23 = 46152344153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46152344161.

It is not an unprimeable number, because it can be changed into a prime (46152344461) 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 31 ways as a sum of consecutive naturals, for example, 2352051 + ... + 2371591.

It is an arithmetic number, because the mean of its divisors is an integer number (1849064040).

Almost surely, 246152344161 is an apocalyptic number.

It is an amenable number.

46152344161 is a deficient number, since it is larger than the sum of its proper divisors (13017705119).

46152344161 is a wasteful number, since it uses less digits than its factorization.

46152344161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425.

The product of its digits is 69120, while the sum is 37.

The spelling of 46152344161 in words is "forty-six billion, one hundred fifty-two million, three hundred forty-four thousand, one hundred sixty-one".

Divisors: 1 7 11 37 77 259 407 829 2849 5803 9119 19541 30673 63833 136787 214711 214951 337403 723017 1504657 2361821 5061119 7953187 16199489 55672309 113396423 178194379 599381093 1247360653 4195667651 6593192023 46152344161