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12930653757 = 37359212987
BaseRepresentation
bin11000000101011101…
…00001111000111101
31020101011022021022010
430002232201320331
5202440221410012
65535032441433
7635301513000
oct140256417075
936334267263
1012930653757
11553602060a
12260a549279
1312b0c01918
148a9477537
1550a304c3c
hex302ba1e3d

12930653757 has 32 divisors (see below), whose sum is σ = 20446848000. Its totient is φ = 7263674544.

The previous prime is 12930653707. The next prime is 12930653761. The reversal of 12930653757 is 75735603921.

12930653757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12930653757 - 214 = 12930637373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930653707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45783 + ... + 167204.

It is an arithmetic number, because the mean of its divisors is an integer number (638964000).

Almost surely, 212930653757 is an apocalyptic number.

It is an amenable number.

12930653757 is a deficient number, since it is larger than the sum of its proper divisors (7516194243).

12930653757 is an equidigital number, since it uses as much as digits as its factorization.

12930653757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213070 (or 213056 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The spelling of 12930653757 in words is "twelve billion, nine hundred thirty million, six hundred fifty-three thousand, seven hundred fifty-seven".

Divisors: 1 3 7 21 49 59 147 177 343 413 1029 1239 2891 8673 20237 60711 212987 638961 1490909 4472727 10436363 12566233 31309089 37698699 73054541 87963631 219163623 263890893 615745417 1847236251 4310217919 12930653757