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2264641621056 = 263235571105333
BaseRepresentation
bin100000111101000111001…
…010001100110001000000
322000111102202202010021200
4200331013022030301000
5244100441223333211
64452210105221200
7322420634111463
oct40750712146100
98014382663250
102264641621056
117a347a179701
12306a9ba91800
13135729b41359
147b875a772da
153dd96419b56
hex20f4728cc40

2264641621056 has 84 divisors (see below), whose sum is σ = 6493017092172. Its totient is φ = 754667633664.

The previous prime is 2264641621043. The next prime is 2264641621087. The reversal of 2264641621056 is 6501261464622.

2264641621056 is a `hidden beast` number, since 2 + 26 + 464 + 1 + 62 + 105 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1175958061056 + 1088683560000 = 1084416^2 + 1043400^2 .

It is a super-3 number, since 3×22646416210563 (a number of 38 digits) contains 333 as substring.

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, 1496166 + ... + 2601498.

Almost surely, 22264641621056 is an apocalyptic number.

It is an amenable number.

2264641621056 is an abundant number, since it is smaller than the sum of its proper divisors (4228375471116).

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

2264641621056 is a wasteful number, since it uses less digits than its factorization.

2264641621056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108908 (or 1108895 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2264641621056 in words is "two trillion, two hundred sixty-four billion, six hundred forty-one million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3557 7114 10671 14228 21342 28456 32013 42684 56912 64026 85368 113824 128052 170736 227648 256104 341472 512208 682944 1024416 1105333 2048832 2210666 3315999 4421332 6631998 8842664 9947997 13263996 17685328 19895994 26527992 35370656 39791988 53055984 70741312 79583976 106111968 159167952 212223936 318335904 636671808 3931669481 7863338962 11795008443 15726677924 23590016886 31453355848 35385025329 47180033772 62906711696 70770050658 94360067544 125813423392 141540101316 188720135088 251626846784 283080202632 377440270176 566160405264 754880540352 1132320810528 2264641621056