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7688338112 = 267131320113
BaseRepresentation
bin1110010100100001…
…01011101011000000
3201211210222001011102
413022100223223000
5111221203304422
63310523433532
7361344536630
oct71220535300
921753861142
107688338112
113295959244
1215a69858a8
13956ac11c0
1452d13a6c0
152eee86192
hex1ca42bac0

7688338112 has 56 divisors (see below), whose sum is σ = 18777301536. Its totient is φ = 3041538048.

The previous prime is 7688338061. The next prime is 7688338139. The reversal of 7688338112 is 2118338867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×76883381122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654233 + ... + 665880.

It is an arithmetic number, because the mean of its divisors is an integer number (335308956).

Almost surely, 27688338112 is an apocalyptic number.

It is an amenable number.

7688338112 is an abundant number, since it is smaller than the sum of its proper divisors (11088963424).

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

7688338112 is a wasteful number, since it uses less digits than its factorization.

7688338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320145 (or 1320135 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 7688338112 is about 87683.1689208368. The cubic root of 7688338112 is about 1973.6834134604.

The spelling of 7688338112 in words is "seven billion, six hundred eighty-eight million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 1320113 2640226 5280452 9240791 10560904 17161469 18481582 21121808 34322938 36963164 42243616 68645876 73926328 84487232 120130283 137291752 147852656 240260566 274583504 295705312 480521132 549167008 591410624 961042264 1098334016 1922084528 3844169056 7688338112