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12977913340 = 2257643144167
BaseRepresentation
bin11000001011000101…
…10011110111111100
31020111110020022021001
430011202303313330
5203034321211330
65543441420044
7636414305020
oct140542636774
936443208231
1012977913340
11555a76a417
12262233a624
1312ba93a882
148b185a380
1550e53c9ca
hex3058b3dfc

12977913340 has 48 divisors (see below), whose sum is σ = 31195648512. Its totient is φ = 4442619456.

The previous prime is 12977913293. The next prime is 12977913343. The reversal of 12977913340 is 4331977921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977913343) 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 15 ways as a sum of consecutive naturals, for example, 17937 + ... + 162103.

It is an arithmetic number, because the mean of its divisors is an integer number (649909344).

Almost surely, 212977913340 is an apocalyptic number.

12977913340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12977913340 is an abundant number, since it is smaller than the sum of its proper divisors (18217735172).

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

12977913340 is a wasteful number, since it uses less digits than its factorization.

12977913340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144826 (or 144824 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The spelling of 12977913340 in words is "twelve billion, nine hundred seventy-seven million, nine hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 643 1286 2572 3215 4501 6430 9002 12860 18004 22505 45010 90020 144167 288334 576668 720835 1009169 1441670 2018338 2883340 4036676 5045845 10091690 20183380 92699381 185398762 370797524 463496905 648895667 926993810 1297791334 1853987620 2595582668 3244478335 6488956670 12977913340