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12368567920 = 2451013152623
BaseRepresentation
bin10111000010011100…
…10101111001110000
31011220222122100111011
423201032111321300
5200312323133140
65403153200304
7615335043532
oct134116257160
934828570434
1012368567920
115277809165
122492260094
13122161c357
1485495d852
154c5cc5cea
hex2e1395e70

12368567920 has 40 divisors (see below), whose sum is σ = 28785496896. Its totient is φ = 4942510848.

The previous prime is 12368567881. The next prime is 12368567983. The reversal of 12368567920 is 2976586321.

12368567920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×123685679203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4729 + ... + 157351.

Almost surely, 212368567920 is an apocalyptic number.

12368567920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12368567920 is an abundant number, since it is smaller than the sum of its proper divisors (16416928976).

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

12368567920 is a wasteful number, since it uses less digits than its factorization.

12368567920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153649 (or 153643 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 12368567920 in words is "twelve billion, three hundred sixty-eight million, five hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1013 2026 4052 5065 8104 10130 16208 20260 40520 81040 152623 305246 610492 763115 1220984 1526230 2441968 3052460 6104920 12209840 154607099 309214198 618428396 773035495 1236856792 1546070990 2473713584 3092141980 6184283960 12368567920