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22561046453664 = 253278336966853
BaseRepresentation
bin1010010000100111001110…
…01010001101110110100000
32221212211000010012020011200
411020103213022031312200
510424120010343004124
6115552222431441200
74515660522502335
oct510234712156640
987784003166150
1022561046453664
1172090a4615514
122644594986200
13c786611763b4
1457dd6378498c
15291ce8004bc9
hex1484e728dda0

22561046453664 has 36 divisors (see below), whose sum is σ = 64157975853426. Its totient is φ = 7520348817792.

The previous prime is 22561046453633. The next prime is 22561046453711. The reversal of 22561046453664 is 46635464016522.

22561046453664 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 0 + 46 + 4 + 536 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22491382130064 + 69664323600 = 4742508^2 + 263940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22561046453664.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39168483139 + ... + 39168483714.

Almost surely, 222561046453664 is an apocalyptic number.

22561046453664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22561046453664 is an abundant number, since it is smaller than the sum of its proper divisors (41596929399762).

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

22561046453664 is a wasteful number, since it uses less digits than its factorization.

22561046453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78336966869 (or 78336966858 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 22561046453664 in words is "twenty-two trillion, five hundred sixty-one billion, forty-six million, four hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78336966853 156673933706 235010900559 313347867412 470021801118 626695734824 705032701677 940043602236 1253391469648 1410065403354 1880087204472 2506782939296 2820130806708 3760174408944 5640261613416 7520348817888 11280523226832 22561046453664