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6750922896 = 24324121672
BaseRepresentation
bin1100100100110001…
…01110100010010000
3122102111001102020100
412102120232202100
5102311214013041
63033515412400
7326202616644
oct62230564220
918374042210
106750922896
1129547a1323
121384a54100
13837827643
14480840c24
15297a186b6
hex19262e890

6750922896 has 135 divisors (see below), whose sum is σ = 19481911033. Its totient is φ = 2182275840.

The previous prime is 6750922883. The next prime is 6750922907. The reversal of 6750922896 is 6982290576.

The square root of 6750922896 is 82164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 325297296 + 6425625600 = 18036^2 + 80160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40424605 + ... + 40424771.

Almost surely, 26750922896 is an apocalyptic number.

6750922896 is the 82164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6750922896

6750922896 is an abundant number, since it is smaller than the sum of its proper divisors (12730988137).

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

6750922896 is a wasteful number, since it uses less digits than its factorization.

6750922896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 6750922896 is about 1889.9677024799.

The spelling of 6750922896 in words is "six billion, seven hundred fifty million, nine hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 167 246 328 334 369 492 501 656 668 738 984 1002 1336 1476 1503 1681 1968 2004 2672 2952 3006 3362 4008 5043 5904 6012 6724 6847 8016 10086 12024 13448 13694 15129 20172 20541 24048 26896 27388 27889 30258 40344 41082 54776 55778 60516 61623 80688 82164 83667 109552 111556 121032 123246 164328 167334 223112 242064 246492 251001 280727 328656 334668 446224 492984 502002 561454 669336 842181 985968 1004004 1122908 1143449 1338672 1684362 2008008 2245816 2286898 2526543 3368724 3430347 4016016 4491632 4573796 5053086 6737448 6860694 9147592 10106172 10291041 13474896 13721388 18295184 20212344 20582082 27442776 40424688 41164164 46881409 54885552 82328328 93762818 140644227 164656656 187525636 281288454 375051272 421932681 562576908 750102544 843865362 1125153816 1687730724 2250307632 3375461448 6750922896