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105376755001418 = 28919729599101527
BaseRepresentation
bin10111111101011011110000…
…000011001010100001001010
3111211002220211020102202020022
4113331123300003022201022
5102302443043240021133
61012041225110300442
731124135136444305
oct2775336003124112
9454086736382208
10105376755001418
11306380380395aa
12b99a87a057722
1346a4ca6aa82c4
141c043954d5b3c
15c2b157d32998
hex5fd6f00ca84a

105376755001418 has 32 divisors (see below), whose sum is σ = 160659531648000. Its totient is φ = 51829663019904.

The previous prime is 105376755001403. The next prime is 105376755001421. The reversal of 105376755001418 is 814100557673501.

It is a happy number.

It is a super-2 number, since 2×1053767550014182 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105376755001418.

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, 1037867771 + ... + 1037969297.

It is an arithmetic number, because the mean of its divisors is an integer number (5020610364000).

Almost surely, 2105376755001418 is an apocalyptic number.

105376755001418 is a deficient number, since it is larger than the sum of its proper divisors (55282776646582).

105376755001418 is a wasteful number, since it uses less digits than its factorization.

105376755001418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131414.

The product of its (nonzero) digits is 3528000, while the sum is 53.

The spelling of 105376755001418 in words is "one hundred five trillion, three hundred seventy-six billion, seven hundred fifty-five million, one thousand, four hundred eighteen".

Divisors: 1 2 89 178 197 394 17533 29599 35066 59198 101527 203054 2634311 5268622 5831003 9035903 11662006 18071806 20000819 40001638 518959267 1037918534 1780072891 3005097673 3560145782 6010195346 267453692897 534907385794 592004241581 1184008483162 52688377500709 105376755001418