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12632684372 = 22711714671237
BaseRepresentation
bin10111100001111011…
…10111011101010100
31012121101121212010222
423300331313131110
5201332431344442
65445310133512
7625023021410
oct136075673524
935541555128
1012632684372
1153a2903820
1225467b1298
131264265189
1487ba71d40
154de0978d2
hex2f0f77754

12632684372 has 96 divisors (see below), whose sum is σ = 28032915456. Its totient is φ = 4838198400.

The previous prime is 12632684347. The next prime is 12632684399. The reversal of 12632684372 is 27348623621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10211738 + ... + 10212974.

It is an arithmetic number, because the mean of its divisors is an integer number (292009536).

Almost surely, 212632684372 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 12632684372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016457728).

12632684372 is an abundant number, since it is smaller than the sum of its proper divisors (15400231084).

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

12632684372 is a wasteful number, since it uses less digits than its factorization.

12632684372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The spelling of 12632684372 in words is "twelve billion, six hundred thirty-two million, six hundred eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 467 497 781 934 994 1237 1562 1868 1988 2474 3124 3269 4948 5137 5467 6538 8659 10274 10934 13076 13607 17318 20548 21868 27214 33157 34636 35959 54428 66314 71918 87827 95249 132628 143836 175654 190498 232099 351308 364727 380996 464198 577679 614789 729454 928396 966097 1155358 1229578 1458908 1932194 2310716 2459156 2553089 3864388 4043753 5106178 6354469 6762679 8087506 10212356 12708938 13525358 16175012 25417876 27050716 41015209 44481283 82030418 88962566 164060836 177925132 287106463 451167299 574212926 902334598 1148425852 1804669196 3158171093 6316342186 12632684372