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6338074672 = 242397277641
BaseRepresentation
bin1011110011100011…
…10101100000110000
3121100201012112221101
411321301311200300
5100440021342142
62524530534144
7313030513546
oct57161654060
917321175841
106338074672
112762750346
12128a737354
137a0137c57
14441a93d96
152716680b7
hex179c75830

6338074672 has 80 divisors (see below), whose sum is σ = 13013042112. Its totient is φ = 2984509440.

The previous prime is 6338074669. The next prime is 6338074679. The reversal of 6338074672 is 2764708336.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (6338074679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9887472 + ... + 9888112.

Almost surely, 26338074672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6338074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506521056).

6338074672 is an abundant number, since it is smaller than the sum of its proper divisors (6674967440).

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

6338074672 is a wasteful number, since it uses less digits than its factorization.

6338074672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 6338074672 is about 79612.0259257356. The cubic root of 6338074672 is about 1850.6279506467.

The spelling of 6338074672 in words is "six billion, three hundred thirty-eight million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 277 368 388 554 641 776 1108 1282 1552 2216 2231 2564 4432 4462 5128 6371 8924 10256 12742 14743 17848 25484 26869 29486 35696 50968 53738 58972 62177 101936 107476 117944 124354 177557 214952 235888 248708 355114 429904 497416 617987 710228 994832 1235974 1420456 1430071 2471948 2840912 2860142 4083811 4943896 5720284 8167622 9887792 11440568 16335244 17223029 22881136 32670488 34446058 65340976 68892116 137784232 275568464 396129667 792259334 1584518668 3169037336 6338074672