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12634131444 = 22311372586841
BaseRepresentation
bin10111100010000110…
…11000101111110100
31012121111100101011020
423301003120233310
5201333314201234
65445401141140
7625041226314
oct136103305764
935544311136
1012634131444
1153a3701a50
12254718a7b0
131264650a2c
1487bd2b444
154de281549
hex2f10d8bf4

12634131444 has 48 divisors (see below), whose sum is σ = 33028798656. Its totient is φ = 3725049600.

The previous prime is 12634131421. The next prime is 12634131457. The reversal of 12634131444 is 44413143621.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288537 + ... + 1298304.

It is an arithmetic number, because the mean of its divisors is an integer number (688099972).

Almost surely, 212634131444 is an apocalyptic number.

It is an amenable number.

12634131444 is an abundant number, since it is smaller than the sum of its proper divisors (20394667212).

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

12634131444 is a wasteful number, since it uses less digits than its factorization.

12634131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586896 (or 2586894 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The spelling of 12634131444 in words is "twelve billion, six hundred thirty-four million, one hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 2586841 5173682 7760523 10347364 15521046 28455251 31042092 56910502 85365753 95713117 113821004 170731506 191426234 287139351 341463012 382852468 574278702 1052844287 1148557404 2105688574 3158532861 4211377148 6317065722 12634131444