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20752491744 = 2532531359571
BaseRepresentation
bin10011010100111100…
…011110010011100000
31222120021110210212100
4103110330132103200
5320000114213434
613311125530400
71333160161245
oct232474362340
958507423770
1020752491744
11888a271226
124031b73a00
131c5956561a
14100c2055cc
15816d5b699
hex4d4f1e4e0

20752491744 has 72 divisors (see below), whose sum is σ = 60128431272. Its totient is φ = 6786973440.

The previous prime is 20752491737. The next prime is 20752491779. The reversal of 20752491744 is 44719425702.

20752491744 is a `hidden beast` number, since 20 + 75 + 2 + 491 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20752491744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664522 + ... + 695049.

It is an arithmetic number, because the mean of its divisors is an integer number (835117101).

Almost surely, 220752491744 is an apocalyptic number.

20752491744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20752491744 is an abundant number, since it is smaller than the sum of its proper divisors (39375939528).

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

20752491744 is a wasteful number, since it uses less digits than its factorization.

20752491744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359640 (or 1359629 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20752491744 in words is "twenty billion, seven hundred fifty-two million, four hundred ninety-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15264 1359571 2719142 4078713 5438284 8157426 10876568 12236139 16314852 21753136 24472278 32629704 43506272 48944556 65259408 72057263 97889112 130518816 144114526 195778224 216171789 288229052 391556448 432343578 576458104 648515367 864687156 1152916208 1297030734 1729374312 2305832416 2594061468 3458748624 5188122936 6917497248 10376245872 20752491744