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46131222213164 = 221165314231128299
BaseRepresentation
bin10100111110100110000110…
…00111001111001000101100
320001100002202012012200002202
422133103003013033020230
522021303220341310124
6242040220234441032
712500604456005024
oct1237230307171054
9201302665180082
1046131222213164
1113776161334480
125210658b93178
131c98203aa012a
14b56a97c06a84
1554eea3e905ae
hex29f4c31cf22c

46131222213164 has 48 divisors (see below), whose sum is σ = 88265627251200. Its totient is φ = 20921894418240.

The previous prime is 46131222213143. The next prime is 46131222213211.

46131222213164 is nontrivially palindromic in base 10.

46131222213164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 40321487 + ... + 41449785.

It is an arithmetic number, because the mean of its divisors is an integer number (1838867234400).

Almost surely, 246131222213164 is an apocalyptic number.

46131222213164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46131222213164 is a deficient number, since it is larger than the sum of its proper divisors (42134405038036).

46131222213164 is a wasteful number, since it uses less digits than its factorization.

46131222213164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130390 (or 1130388 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 4613122 and 2213164, that added together give a palindrome (6826286).

The spelling of 46131222213164 in words is "forty-six trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 653 1306 1423 2612 2846 5692 7183 14366 15653 28732 31306 62612 929219 1128299 1858438 2256598 3716876 4513196 10221409 12411289 20442818 24822578 40885636 49645156 736779247 1473558494 1605569477 2947116988 3211138954 6422277908 8104571717 16209143434 17661264247 32418286868 35322528494 70645056988 1048436868481 2096873736962 4193747473924 11532805553291 23065611106582 46131222213164