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105894012939912 = 23331240139533107
BaseRepresentation
bin11000000100111101011111…
…000001100110111010001000
3111212221100221211111120111000
4120010331133001212322020
5102334431414303034122
61013115012111135000
731206406233412311
oct3004753701467210
9455840854446430
10105894012939912
113081744272068a
12ba62b76814460
1347119bb4ab2b2
141c2142477d608
15c3982dade0ac
hex604f5f066e88

105894012939912 has 64 divisors (see below), whose sum is σ = 294173763249600. Its totient is φ = 35295157036800.

The previous prime is 105894012939901. The next prime is 105894012939941. The reversal of 105894012939912 is 219939210498501.

105894012939912 is a `hidden beast` number, since 1 + 0 + 5 + 89 + 40 + 129 + 399 + 1 + 2 = 666.

It is a super-2 number, since 2×1058940129399122 (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 105894012939912.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17087938 + ... + 22445169.

It is an arithmetic number, because the mean of its divisors is an integer number (4596465050775).

Almost surely, 2105894012939912 is an apocalyptic number.

105894012939912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105894012939912 is an abundant number, since it is smaller than the sum of its proper divisors (188279750309688).

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

105894012939912 is a wasteful number, since it uses less digits than its factorization.

105894012939912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39545523 (or 39545513 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 105894012939912 in words is "one hundred five trillion, eight hundred ninety-four billion, twelve million, nine hundred thirty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 12401 24802 37203 49604 74406 99208 111609 148812 223218 297624 334827 446436 669654 892872 1339308 2678616 39533107 79066214 118599321 158132428 237198642 316264856 355797963 474397284 711595926 948794568 1067393889 1423191852 2134787778 2846383704 4269575556 8539151112 490250059907 980500119814 1470750179721 1961000239628 2941500359442 3922000479256 4412250539163 5883000718884 8824501078326 11766001437768 13236751617489 17649002156652 26473503234978 35298004313304 52947006469956 105894012939912