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12188979264 = 2637113722283
BaseRepresentation
bin10110101101000010…
…10001000001000000
31011110110201022011110
423112201101001000
5144430334314024
65333300043320
7611024420460
oct132641210100
934413638143
1012188979264
1151953a7590
122442093540
1311c3360787
14838b71ba0
154b514e629
hex2d6851040

12188979264 has 224 divisors, whose sum is σ = 41296352256. Its totient is φ = 3080263680.

The previous prime is 12188979251. The next prime is 12188979289. The reversal of 12188979264 is 46297988121.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535867 + ... + 558149.

Almost surely, 212188979264 is an apocalyptic number.

12188979264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12188979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648176128).

12188979264 is an abundant number, since it is smaller than the sum of its proper divisors (29107372992).

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

12188979264 is a wasteful number, since it uses less digits than its factorization.

12188979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22353 (or 22343 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The spelling of 12188979264 in words is "twelve billion, one hundred eighty-eight million, nine hundred seventy-nine thousand, two hundred sixty-four".