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12188704768 = 2134731657
BaseRepresentation
bin10110101101000000…
…01110000000000000
31011110110012100121221
423112200032000000
5144430302023033
65333250124424
7611022165262
oct132640160000
934413170557
1012188704768
11519522a329
122441b80714
1311c3295856
14838addb32
154b50e812d
hex2d680e000

12188704768 has 56 divisors (see below), whose sum is σ = 24895344672. Its totient is φ = 5964496896.

The previous prime is 12188704757. The next prime is 12188704769. The reversal of 12188704768 is 86740788121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188704769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 369196 + ... + 400852.

Almost surely, 212188704768 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 12188704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447672336).

12188704768 is an abundant number, since it is smaller than the sum of its proper divisors (12706639904).

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

12188704768 is an frugal number, since it uses more digits than its factorization.

12188704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31730 (or 31706 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 52.

The spelling of 12188704768 in words is "twelve billion, one hundred eighty-eight million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 2048 3008 4096 6016 8192 12032 24064 31657 48128 63314 96256 126628 192512 253256 385024 506512 1013024 1487879 2026048 2975758 4052096 5951516 8104192 11903032 16208384 23806064 32416768 47612128 64833536 95224256 129667072 190448512 259334144 380897024 761794048 1523588096 3047176192 6094352384 12188704768