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6513534368 = 251122781517
BaseRepresentation
bin1100001000011110…
…01010010110100000
3121210221100211101122
412010033022112200
5101314431044433
62554155351412
7320261062055
oct60417122640
917727324348
106513534368
1128427a1860
121319452568
137ca5ac363
1445b0c902c
15281c76198
hex1843ca5a0

6513534368 has 48 divisors (see below), whose sum is σ = 14051094624. Its totient is φ = 2947618560.

The previous prime is 6513534329. The next prime is 6513534389. The reversal of 6513534368 is 8634353156.

It is a happy number.

It is a super-2 number, since 2×65135343682 = 84852259926234318848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 39146 + ... + 120662.

It is an arithmetic number, because the mean of its divisors is an integer number (292731138).

Almost surely, 26513534368 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 6513534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025547312).

6513534368 is an abundant number, since it is smaller than the sum of its proper divisors (7537560256).

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

6513534368 is a wasteful number, since it uses less digits than its factorization.

6513534368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81765 (or 81757 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The square root of 6513534368 is about 80706.4704221415. The cubic root of 6513534368 is about 1867.5499927060.

The spelling of 6513534368 in words is "six billion, five hundred thirteen million, five hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 908 1816 2497 3632 4994 7264 9988 19976 39952 79904 81517 163034 326068 652136 896687 1304272 1793374 2608544 3586748 7173496 14346992 18504359 28693984 37008718 74017436 148034872 203547949 296069744 407095898 592139488 814191796 1628383592 3256767184 6513534368