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2109860334144 = 263219119177759
BaseRepresentation
bin11110101100111101011…
…110011100101001000000
321110200220210110001210200
4132230331132130221000
5234031443221143034
64253131221125200
7305301206636313
oct36547536345100
97420823401720
102109860334144
11743872177972
122a0aa3b59800
13123c60b40054
14741912b897a
1539d37bd7a99
hex1eb3d79ca40

2109860334144 has 84 divisors (see below), whose sum is σ = 6079196497920. Its totient is φ = 699604611840.

The previous prime is 2109860334133. The next prime is 2109860334167. The reversal of 2109860334144 is 4414330689012.

2109860334144 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 8 + 603 + 34 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2109860334144.

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, 9478864 + ... + 9698895.

It is an arithmetic number, because the mean of its divisors is an integer number (72371386880).

Almost surely, 22109860334144 is an apocalyptic number.

2109860334144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2109860334144 is an abundant number, since it is smaller than the sum of its proper divisors (3969336163776).

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

2109860334144 is a wasteful number, since it uses less digits than its factorization.

2109860334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19177968 (or 19177955 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2109860334144 in words is "two trillion, one hundred nine billion, eight hundred sixty million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 55008 110016 19177759 38355518 57533277 76711036 115066554 153422072 172599831 230133108 306844144 345199662 460266216 613688288 690399324 920532432 1227376576 1380798648 1841064864 2761597296 3662951969 3682129728 5523194592 7325903938 10988855907 11046389184 14651807876 21977711814 29303615752 32966567721 43955423628 58607231504 65933135442 87910847256 117214463008 131866270884 175821694512 234428926016 263732541768 351643389024 527465083536 703286778048 1054930167072 2109860334144