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12827524304 = 2472327717977
BaseRepresentation
bin10111111001001010…
…00111110011010000
31020002222020202021202
423330211013303100
5202232321234204
65520510210332
7632610105020
oct137445076320
936088222252
1012827524304
115492891961
12259bab39a8
13129573388a
148998ada80
15501232e1e
hex2fc947cd0

12827524304 has 80 divisors (see below), whose sum is σ = 29747405568. Its totient is φ = 5239213056.

The previous prime is 12827524277. The next prime is 12827524337. The reversal of 12827524304 is 40342572821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704564 + ... + 722540.

Almost surely, 212827524304 is an apocalyptic number.

12827524304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12827524304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873702784).

12827524304 is an abundant number, since it is smaller than the sum of its proper divisors (16919881264).

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

12827524304 is a wasteful number, since it uses less digits than its factorization.

12827524304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 12827524304 in words is "twelve billion, eight hundred twenty-seven million, five hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 277 322 368 554 644 1108 1288 1939 2216 2576 3878 4432 6371 7756 12742 15512 17977 25484 31024 35954 44597 50968 71908 89194 101936 125839 143816 178388 251678 287632 356776 413471 503356 713552 826942 1006712 1653884 2013424 2894297 3307768 4979629 5788594 6615536 9959258 11577188 19918516 23154376 34857403 39837032 46308752 69714806 79674064 114531467 139429612 229062934 278859224 458125868 557718448 801720269 916251736 1603440538 1832503472 3206881076 6413762152 12827524304