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105920033876 = 22176723419931
BaseRepresentation
bin110001010100101010…
…0110111010001010100
3101010101202020020000122
41202221110313101110
53213411012041001
6120354201531112
710436540301326
oct1425124672124
9333352206018
10105920033876
1140a14109188
12186404a3a98
139cb015a677
1451ab3b5616
152b4dd28b1b
hex18a9537454

105920033876 has 48 divisors (see below), whose sum is σ = 199298054592. Its totient is φ = 49074854400.

The previous prime is 105920033861. The next prime is 105920033899. The reversal of 105920033876 is 678330029501.

It is a super-3 number, since 3×1059200338763 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10660631 + ... + 10670561.

It is an arithmetic number, because the mean of its divisors is an integer number (4152042804).

Almost surely, 2105920033876 is an apocalyptic number.

It is an amenable number.

105920033876 is a deficient number, since it is larger than the sum of its proper divisors (93378020716).

105920033876 is a wasteful number, since it uses less digits than its factorization.

105920033876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 105920033876 in words is "one hundred five billion, nine hundred twenty million, thirty-three thousand, eight hundred seventy-six".

Divisors: 1 2 4 17 34 67 68 134 268 1139 2278 2341 4556 4682 9364 9931 19862 39724 39797 79594 156847 159188 168827 313694 337654 627388 665377 675308 1330754 2661508 2666399 5332798 10665596 11311409 22622818 23248471 45245636 46496942 92993884 395224007 790448014 1557647557 1580896028 3115295114 6230590228 26480008469 52960016938 105920033876