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12772500401 = 178311380107
BaseRepresentation
bin10111110010100110…
…01110001110110001
31012222010201020200102
423321103032032301
5202124230003101
65511223002145
7631341314333
oct137123161661
935863636612
1012772500401
11546481a661
122585599355
13128720985b
14892469453
154eb4b486b
hex2f94ce3b1

12772500401 has 16 divisors (see below), whose sum is σ = 13808055744. Its totient is φ = 11771096064.

The previous prime is 12772500383. The next prime is 12772500409. The reversal of 12772500401 is 10400527721.

It is a cyclic number.

It is not a de Polignac number, because 12772500401 - 26 = 12772500337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12772500409) 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, 119390 + ... + 199496.

It is an arithmetic number, because the mean of its divisors is an integer number (863003484).

Almost surely, 212772500401 is an apocalyptic number.

It is an amenable number.

12772500401 is a deficient number, since it is larger than the sum of its proper divisors (1035555343).

12772500401 is a wasteful number, since it uses less digits than its factorization.

12772500401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80320.

The product of its (nonzero) digits is 3920, while the sum is 29.

The spelling of 12772500401 in words is "twelve billion, seven hundred seventy-two million, five hundred thousand, four hundred one".

Divisors: 1 17 83 113 1411 1921 9379 80107 159443 1361819 6648881 9052091 113030977 153885547 751323553 12772500401