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12640138752 = 29353155269
BaseRepresentation
bin10111100010110100…
…10011011000000000
31012121220122120122010
423301122103120000
5201341333420002
65450134012520
7625143256323
oct136132233000
935556576563
1012640138752
1153a703536a
1225491a7140
131265975157
1487ca527ba
154dea6b46c
hex2f1693600

12640138752 has 80 divisors (see below), whose sum is σ = 34309701360. Its totient is φ = 4133855232.

The previous prime is 12640138751. The next prime is 12640138799. The reversal of 12640138752 is 25783104621.

It is a self number, because there is not a number n which added to its sum of digits gives 12640138752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640138751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3774 + ... + 159042.

It is an arithmetic number, because the mean of its divisors is an integer number (428871267).

Almost surely, 212640138752 is an apocalyptic number.

12640138752 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 12640138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154850680).

12640138752 is an abundant number, since it is smaller than the sum of its proper divisors (21669562608).

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

12640138752 is an equidigital number, since it uses as much as digits as its factorization.

12640138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155343 (or 155327 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12640138752 in words is "twelve billion, six hundred forty million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1272 1536 1696 2544 3392 5088 6784 10176 13568 20352 27136 40704 81408 155269 310538 465807 621076 931614 1242152 1863228 2484304 3726456 4968608 7452912 8229257 9937216 14905824 16458514 19874432 24687771 29811648 32917028 39748864 49375542 59623296 65834056 79497728 98751084 119246592 131668112 197502168 238493184 263336224 395004336 526672448 790008672 1053344896 1580017344 2106689792 3160034688 4213379584 6320069376 12640138752