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10012018006512 = 2432240912886053
BaseRepresentation
bin1001000110110001101011…
…0001101101100111110000
31022110010202202020020110200
42101230122301231213300
52303014103102202022
633143242500355200
72052226065615204
oct221543261554760
938403682206420
1010012018006512
113210089174205
1211584906a5b00
1357818ac55c92
142688272b6b04
1512568006dbac
hex91b1ac6d9f0

10012018006512 has 60 divisors (see below), whose sum is σ = 28020917626104. Its totient is φ = 3337199648640.

The previous prime is 10012018006499. The next prime is 10012018006553. The reversal of 10012018006512 is 21560081021001.

10012018006512 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 0 + 1 + 8 + 0 + 0 + 651 + 2 = 666.

10012018006512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100120180065122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2026078 + ... + 4912130.

Almost surely, 210012018006512 is an apocalyptic number.

10012018006512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012018006512 is an abundant number, since it is smaller than the sum of its proper divisors (18008899619592).

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

10012018006512 is a wasteful number, since it uses less digits than its factorization.

10012018006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910158 (or 2910149 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 10012018006512 its reverse (21560081021001), we get a palindrome (31572099027513).

The spelling of 10012018006512 in words is "ten trillion, twelve billion, eighteen million, six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24091 48182 72273 96364 144546 192728 216819 289092 385456 433638 578184 867276 1156368 1734552 2886053 3469104 5772106 8658159 11544212 17316318 23088424 25974477 34632636 46176848 51948954 69265272 103897908 138530544 207795816 415591632 69527902823 139055805646 208583708469 278111611292 417167416938 556223222584 625751125407 834334833876 1112446445168 1251502250814 1668669667752 2503004501628 3337339335504 5006009003256 10012018006512