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6343138872 = 2332717740329
BaseRepresentation
bin1011110100001010…
…01001111000111000
3121101001201211201100
411322011021320320
5100442320420442
62525231251400
7313121535150
oct57205117070
917331654640
106343138872
11276559a134
121290379b60
137a11bc015
14442611760
15271d1884c
hex17a149e38

6343138872 has 96 divisors (see below), whose sum is σ = 20788466400. Its totient is φ = 1705715712.

The previous prime is 6343138871. The next prime is 6343138877. The reversal of 6343138872 is 2788313436.

6343138872 is a `hidden beast` number, since 634 + 3 + 1 + 3 + 8 + 8 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6343138871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 361597 + ... + 378732.

It is an arithmetic number, because the mean of its divisors is an integer number (216546525).

Almost surely, 26343138872 is an apocalyptic number.

It is an amenable number.

6343138872 is an abundant number, since it is smaller than the sum of its proper divisors (14445327528).

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

6343138872 is a wasteful number, since it uses less digits than its factorization.

6343138872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740365 (or 740358 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 6343138872 is about 79643.8250713764. The cubic root of 6343138872 is about 1851.1207109648.

The spelling of 6343138872 in words is "six billion, three hundred forty-three million, one hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 740329 1480658 2220987 2961316 4441974 5182303 5922632 6662961 8883948 10364606 12585593 13325922 15546909 17767896 20729212 25171186 26651844 31093818 37756779 41458424 46640727 50342372 53303688 62187636 75513558 88099151 93281454 100684744 113270337 124375272 151027116 176198302 186562908 226540674 264297453 302054232 352396604 373125816 453081348 528594906 704793208 792892359 906162696 1057189812 1585784718 2114379624 3171569436 6343138872