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12265407641 = 31894799281
BaseRepresentation
bin10110110110001001…
…10100010010011001
31011122210112021012002
423123010310102121
5200104421021031
65345030130345
7612643146644
oct133304642231
934583467162
1012265407641
115224559333
1224637b09b5
131206140276
14844d88a5b
154bbbe9ccb
hex2db134499

12265407641 has 16 divisors (see below), whose sum is σ = 12831436800. Its totient is φ = 11710617600.

The previous prime is 12265407617. The next prime is 12265407643. The reversal of 12265407641 is 14670456221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12265407641 - 26 = 12265407577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12265407595 and 12265407604.

It is not an unprimeable number, because it can be changed into a prime (12265407643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316921 + ... + 1326201.

It is an arithmetic number, because the mean of its divisors is an integer number (801964800).

Almost surely, 212265407641 is an apocalyptic number.

It is an amenable number.

12265407641 is a deficient number, since it is larger than the sum of its proper divisors (566029159).

12265407641 is an equidigital number, since it uses as much as digits as its factorization.

12265407641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 12265407641 in words is "twelve billion, two hundred sixty-five million, four hundred seven thousand, six hundred forty-one".

Divisors: 1 31 89 479 2759 9281 14849 42631 287711 826009 1321561 4445599 25606279 137813569 395658311 12265407641