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6642666432 = 263223501409
BaseRepresentation
bin1100010111110111…
…10000101111000000
3122010221100102021200
412023323300233000
5102101010311212
63015051221200
7323416506303
oct61373605700
918127312250
106642666432
1128a9680676
121354747800
1381b282a6c
14470300b3a
1528d2826dc
hex18bef0bc0

6642666432 has 84 divisors (see below), whose sum is σ = 19867869840. Its totient is φ = 2117947392.

The previous prime is 6642666419. The next prime is 6642666439. The reversal of 6642666432 is 2346662466.

It is a super-2 number, since 2×66426664322 = 88250034653639221248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642666439) by changing a digit.

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, 237457 + ... + 263952.

It is an arithmetic number, because the mean of its divisors is an integer number (236522260).

Almost surely, 26642666432 is an apocalyptic number.

It is an amenable number.

6642666432 is an abundant number, since it is smaller than the sum of its proper divisors (13225203408).

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

6642666432 is a wasteful number, since it uses less digits than its factorization.

6642666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501450 (or 501437 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 6642666432 is about 81502.5547575044. The cubic root of 6642666432 is about 1879.8108335394.

The spelling of 6642666432 in words is "six billion, six hundred forty-two million, six hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 501409 1002818 1504227 2005636 3008454 4011272 4512681 6016908 8022544 9025362 11532407 12033816 16045088 18050724 23064814 24067632 32090176 34597221 36101448 46129628 48135264 69194442 72202896 92259256 96270528 103791663 138388884 144405792 184518512 207583326 276777768 288811584 369037024 415166652 553555536 738074048 830333304 1107111072 1660666608 2214222144 3321333216 6642666432