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12368153820 = 223511172611063
BaseRepresentation
bin10111000010011001…
…10000110011011100
31011220221212022110010
423201030300303130
5200312221410240
65403140243220
7615331400331
oct134114606334
934827768403
1012368153820
115277556030
1224920a0510
131221505a19
14854892988
154c5c43280
hex2e1330cdc

12368153820 has 288 divisors, whose sum is σ = 40828386816. Its totient is φ = 2773094400.

The previous prime is 12368153771. The next prime is 12368153851. The reversal of 12368153820 is 2835186321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11634609 + ... + 11635671.

It is an arithmetic number, because the mean of its divisors is an integer number (141765232).

Almost surely, 212368153820 is an apocalyptic number.

12368153820 is a gapful number since it is divisible by the number (10) 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 12368153820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414193408).

12368153820 is an abundant number, since it is smaller than the sum of its proper divisors (28460232996).

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

12368153820 is a wasteful number, since it uses less digits than its factorization.

12368153820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12368153820 in words is "twelve billion, three hundred sixty-eight million, one hundred fifty-three thousand, eight hundred twenty".