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105747422924 = 22113132117529
BaseRepresentation
bin110001001111100001…
…0011001111011001100
3101002221201102200022102
41202133002121323030
53213032320013144
6120325114134232
710432343156363
oct1423702317314
9332851380272
10105747422924
1140935733000
12185b2721378
139c83472b00
1451924c27da
152b3daceb4e
hex189f099ecc

105747422924 has 72 divisors (see below), whose sum is σ = 220413881520. Its totient is φ = 44369170560.

The previous prime is 105747422873. The next prime is 105747422929. The reversal of 105747422924 is 429224747501.

It is a super-2 number, since 2×1057474229242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105747422929) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 840992 + ... + 958520.

It is an arithmetic number, because the mean of its divisors is an integer number (3061303910).

Almost surely, 2105747422924 is an apocalyptic number.

It is an amenable number.

105747422924 is an abundant number, since it is smaller than the sum of its proper divisors (114666458596).

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

105747422924 is a wasteful number, since it uses less digits than its factorization.

105747422924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117592 (or 117555 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 105747422924 in words is "one hundred five billion, seven hundred forty-seven million, four hundred twenty-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1331 1573 1859 2662 3146 3718 5324 6292 7436 17303 20449 34606 40898 69212 81796 117529 224939 235058 449878 470116 899756 1292819 1527877 2585638 3055754 5171276 6111508 14221009 16806647 19862401 28442018 33613294 39724802 56884036 67226588 79449604 156431099 184873117 218486411 312862198 369746234 436972822 625724396 739492468 873945644 2033604287 2403350521 4067208574 4806701042 8134417148 9613402084 26436855731 52873711462 105747422924