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46531133113564 = 221123337136437331
BaseRepresentation
bin10101001010001110111111…
…01010010000010011011100
320002202022222200010022102101
422211013133222100103130
522044331230034113224
6242544035113134444
712541522566403321
oct1245073752202334
9202668880108371
1046531133113564
111390a81963aa40
1252760663ba424
131cc6b36b132c8
14b6c194214b48
1555a5acb39044
hex2a51dfa904dc

46531133113564 has 48 divisors (see below), whose sum is σ = 92969489523456. Its totient is φ = 20170894867200.

The previous prime is 46531133113537. The next prime is 46531133113693.

46531133113564 is nontrivially palindromic in base 10.

46531133113564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67877622 + ... + 68559709.

It is an arithmetic number, because the mean of its divisors is an integer number (1936864365072).

Almost surely, 246531133113564 is an apocalyptic number.

46531133113564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46531133113564 is a deficient number, since it is larger than the sum of its proper divisors (46438356409892).

46531133113564 is a wasteful number, since it uses less digits than its factorization.

46531133113564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136437706 (or 136437704 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 46.

It can be divided in two parts, 4653113 and 3113564, that added together give a palindrome (7766677).

The spelling of 46531133113564 in words is "forty-six trillion, five hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 92 253 337 506 674 1012 1348 3707 7414 7751 14828 15502 31004 85261 170522 341044 136437331 272874662 545749324 1500810641 3001621282 3138058613 6003242564 6276117226 12552234452 34518644743 45979380547 69037289486 91958761094 138074578972 183917522188 505773186017 1011546372034 1057525752581 2023092744068 2115051505162 4230103010324 11632783278391 23265566556782 46531133113564