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12878762232 = 2337234181293
BaseRepresentation
bin10111111111010001…
…00101000011111000
31020020112122220111210
423333220211003320
5202333430342412
65525540323120
7634101446520
oct137750450370
936215586453
1012878762232
1155097a8756
1225b50a34a0
1312a323358b
148a260a680
155059a483c
hex2ffa250f8

12878762232 has 128 divisors (see below), whose sum is σ = 39333288960. Its totient is φ = 3433774080.

The previous prime is 12878762227. The next prime is 12878762249. The reversal of 12878762232 is 23226787821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117778 + ... + 199070.

It is an arithmetic number, because the mean of its divisors is an integer number (307291320).

Almost surely, 212878762232 is an apocalyptic number.

12878762232 is a gapful number since it is divisible by the number (12) 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 12878762232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666644480).

12878762232 is an abundant number, since it is smaller than the sum of its proper divisors (26454526728).

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

12878762232 is a wasteful number, since it uses less digits than its factorization.

12878762232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81373 (or 81369 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 12878762232 in words is "twelve billion, eight hundred seventy-eight million, seven hundred sixty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 41 42 46 56 69 82 84 92 123 138 161 164 168 184 246 276 287 322 328 483 492 552 574 644 861 943 966 984 1148 1288 1722 1886 1932 2296 2829 3444 3772 3864 5658 6601 6888 7544 11316 13202 19803 22632 26404 39606 52808 79212 81293 158424 162586 243879 325172 487758 569051 650344 975516 1138102 1707153 1869739 1951032 2276204 3333013 3414306 3739478 4552408 5609217 6666026 6828612 7478956 9999039 11218434 13088173 13332052 13657224 14957912 19998078 22436868 23331091 26176346 26664104 39264519 39996156 44873736 46662182 52352692 69993273 76659299 78529038 79992312 93324364 104705384 139986546 153318598 157058076 186648728 229977897 279973092 306637196 314116152 459955794 536615093 559946184 613274392 919911588 1073230186 1609845279 1839823176 2146460372 3219690558 4292920744 6439381116 12878762232