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2805744113664 = 21131726862593
BaseRepresentation
bin101000110101000011011…
…000011001100000000000
3100221020010010112210120020
4220311003120121200000
5331432130443114124
65544535133413440
7406464645316122
oct50650330314000
910836103483506
102805744113664
11991a00452158
1239393203a280
13174771585a6b
1499b27a55212
154ceb570e379
hex28d43619800

2805744113664 has 96 divisors (see below), whose sum is σ = 7920167214960. Its totient is φ = 880233414656.

The previous prime is 2805744113663. The next prime is 2805744113771. The reversal of 2805744113664 is 4663114475082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805744113663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13326849 + ... + 13535744.

Almost surely, 22805744113664 is an apocalyptic number.

2805744113664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2805744113664 is an abundant number, since it is smaller than the sum of its proper divisors (5114423101296).

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

2805744113664 is a wasteful number, since it uses less digits than its factorization.

2805744113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26862635 (or 26862615 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 2805744113664 in words is "two trillion, eight hundred five billion, seven hundred forty-four million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 52224 104448 26862593 53725186 80587779 107450372 161175558 214900744 322351116 429801488 456664081 644702232 859602976 913328162 1289404464 1369992243 1719205952 1826656324 2578808928 2739984486 3438411904 3653312648 5157617856 5479968972 6876823808 7306625296 10315235712 10959937944 13753647616 14613250592 20630471424 21919875888 27507295232 29226501184 41260942848 43839751776 55014590464 58453002368 82521885696 87679503552 116906004736 165043771392 175359007104 233812009472 350718014208 467624018944 701436028416 935248037888 1402872056832 2805744113664