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12244106460 = 22351031981247
BaseRepresentation
bin10110110011100111…
…00011110011011100
31011121022110001110110
423121303203303130
5200033442401320
65342545410020
7612264121245
oct133163436334
934538401413
1012244106460
11521352a453
122458639910
1312018c2811
14842201ccc
154b9ddd5e0
hex2d9ce3cdc

12244106460 has 48 divisors (see below), whose sum is σ = 34616365056. Its totient is φ = 3233393472.

The previous prime is 12244106447. The next prime is 12244106467. The reversal of 12244106460 is 6460144221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244106467) 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, 984444 + ... + 996803.

It is an arithmetic number, because the mean of its divisors is an integer number (721174272).

Almost surely, 212244106460 is an apocalyptic number.

12244106460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244106460 is an abundant number, since it is smaller than the sum of its proper divisors (22372258596).

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

12244106460 is a wasteful number, since it uses less digits than its factorization.

12244106460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981362 (or 1981360 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12244106460 in words is "twelve billion, two hundred forty-four million, one hundred six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 1981247 3962494 5943741 7924988 9906235 11887482 19812470 23774964 29718705 39624940 59437410 118874820 204068441 408136882 612205323 816273764 1020342205 1224410646 2040684410 2448821292 3061026615 4081368820 6122053230 12244106460