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105464445432 = 23314051312743
BaseRepresentation
bin110001000111000101…
…0111011100111111000
3101002012222221221011120
41202032022323213320
53211442344223212
6120241045025240
710422335665203
oct1421612734770
9332188857146
10105464445432
11407aaa25905
12185339b5220
139c399550c8
145166aa093a
152b23d3488c
hex188e2bb9f8

105464445432 has 32 divisors (see below), whose sum is σ = 263680721280. Its totient is φ = 35152200800.

The previous prime is 105464445431. The next prime is 105464445553. The reversal of 105464445432 is 234544464501.

It is a super-2 number, since 2×1054644454322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105464445431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180853 + ... + 493595.

It is an arithmetic number, because the mean of its divisors is an integer number (8240022540).

Almost surely, 2105464445432 is an apocalyptic number.

105464445432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105464445432 is an abundant number, since it is smaller than the sum of its proper divisors (158216275848).

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

105464445432 is a wasteful number, since it uses less digits than its factorization.

105464445432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326803 (or 326799 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 105464445432 in words is "one hundred five billion, four hundred sixty-four million, four hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 14051 28102 42153 56204 84306 112408 168612 312743 337224 625486 938229 1250972 1876458 2501944 3752916 7505832 4394351893 8788703786 13183055679 17577407572 26366111358 35154815144 52732222716 105464445432