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105379526958 = 23641169916127
BaseRepresentation
bin110001000100100011…
…0111111100100101110
3101002000002011121220220
41202021012333210232
53211304124330313
6120224412552210
710420255125366
oct1421106774456
9332002147826
10105379526958
1140766aa5352
121850b482666
139c251920a4
1451596b79a6
152b1b65d823
hex18891bf92e

105379526958 has 32 divisors (see below), whose sum is σ = 211225190400. Its totient is φ = 35048893440.

The previous prime is 105379526921. The next prime is 105379526983. The reversal of 105379526958 is 859625973501.

It is a super-2 number, since 2×1053795269582 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6526291 + ... + 6542417.

It is an arithmetic number, because the mean of its divisors is an integer number (6600787200).

Almost surely, 2105379526958 is an apocalyptic number.

105379526958 is an abundant number, since it is smaller than the sum of its proper divisors (105845663442).

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

105379526958 is a wasteful number, since it uses less digits than its factorization.

105379526958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472.

The product of its (nonzero) digits is 20412000, while the sum is 60.

The spelling of 105379526958 in words is "one hundred five billion, three hundred seventy-nine million, five hundred twenty-six thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 641 1282 1699 1923 3398 3846 5097 10194 16127 32254 48381 96762 1089059 2178118 3267177 6534354 10337407 20674814 27399773 31012221 54799546 62024442 82199319 164398638 17563254493 35126508986 52689763479 105379526958