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12272117778 = 232261112
BaseRepresentation
bin10110110110111100…
…11010100000010010
31011200021011011202200
423123132122200102
5200113130232103
65345430024030
7613054165014
oct133336324022
934607134680
1012272117778
1152283217a8
122465aa8016
13120764c56b
14845c141b4
154bc5c30a3
hex2db79a812

12272117778 has 18 divisors (see below), whose sum is σ = 26590606887. Its totient is φ = 4090549260.

The previous prime is 12272117761. The next prime is 12272117791. The reversal of 12272117778 is 87771127221.

12272117778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6136058889 + 6136058889 = 78333^2 + 78333^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78333.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 456943 + ... + 483053.

Almost surely, 212272117778 is an apocalyptic number.

12272117778 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12272117778 is an abundant number, since it is smaller than the sum of its proper divisors (14318489109).

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

12272117778 is an frugal number, since it uses more digits than its factorization.

12272117778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52230 (or 26116 counting only the distinct ones).

The product of its digits is 153664, while the sum is 45.

The spelling of 12272117778 in words is "twelve billion, two hundred seventy-two million, one hundred seventeen thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 26111 52222 78333 156666 234999 469998 681784321 1363568642 2045352963 4090705926 6136058889 12272117778