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12640254432 = 2531310128409
BaseRepresentation
bin10111100010110101…
…01111100111100000
31012121220212110022120
423301122233213200
5201341401120212
65450140304240
7625144250511
oct136132574740
935556773276
1012640254432
1153a7104273
122549242080
1312659b59c0
1487ca82a08
154dea9088c
hex2f16af9e0

12640254432 has 48 divisors (see below), whose sum is σ = 35733030480. Its totient is φ = 3889308672.

The previous prime is 12640254421. The next prime is 12640254437. The reversal of 12640254432 is 23445204621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12640254393 and 12640254402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640254437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5062957 + ... + 5065452.

It is an arithmetic number, because the mean of its divisors is an integer number (744438135).

Almost surely, 212640254432 is an apocalyptic number.

12640254432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12640254432 is an abundant number, since it is smaller than the sum of its proper divisors (23092776048).

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

12640254432 is a wasteful number, since it uses less digits than its factorization.

12640254432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128435 (or 10128427 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 12640254432 in words is "twelve billion, six hundred forty million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10128409 20256818 30385227 40513636 60770454 81027272 121540908 131669317 162054544 243081816 263338634 324109088 395007951 486163632 526677268 790015902 972327264 1053354536 1580031804 2106709072 3160063608 4213418144 6320127216 12640254432