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46134516431133 = 32132930194503799
BaseRepresentation
bin10100111110101100001110…
…11101101011100100011101
320001100102020202212021121200
422133112013131223210131
522021331442201244013
6242041523153150113
712501052216256034
oct1237260735534435
9201312222767550
1046134516431133
11137775a188a169
12521121825b339
131c9860a409730
14b56ccb51971b
155500e829ee73
hex29f58776b91d

46134516431133 has 48 divisors (see below), whose sum is σ = 74264058960000. Its totient is φ = 27402404125824.

The previous prime is 46134516431099. The next prime is 46134516431153. The reversal of 46134516431133 is 33113461543164.

46134516431133 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 451 + 64 + 3 + 1 + 133 = 666.

It is not a de Polignac number, because 46134516431133 - 221 = 46134514333981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46134516431153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7991568 + ... + 12495366.

It is an arithmetic number, because the mean of its divisors is an integer number (1547167895000).

Almost surely, 246134516431133 is an apocalyptic number.

It is an amenable number.

46134516431133 is a deficient number, since it is larger than the sum of its proper divisors (28129542528867).

46134516431133 is a wasteful number, since it uses less digits than its factorization.

46134516431133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506866 (or 4506863 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

Adding to 46134516431133 its reverse (33113461543164), we get a palindrome (79247977974297).

The spelling of 46134516431133 in words is "forty-six trillion, one hundred thirty-four billion, five hundred sixteen million, four hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3019 3393 9057 27171 39247 87551 117741 262653 353223 787959 1138163 3414489 4503799 10243467 13511397 40534191 58549387 130610171 175648161 391830513 526944483 1175491539 1697932223 5093796669 13596969181 15281390007 40790907543 122372722629 176760599353 394312106249 530281798059 1182936318747 1590845394177 3548808956241 5126057381237 15378172143711 46134516431133