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12994023168 = 283271783571
BaseRepresentation
bin11000001101000000…
…10000111100000000
31020112120112202210100
430012200100330000
5203102432220133
65545215002400
7640001242320
oct140640207400
936476482710
1012994023168
115568872a25
122627809400
1312c108b409
148b3a51280
15510b70e13
hex306810f00

12994023168 has 432 divisors, whose sum is σ = 45962332416. Its totient is φ = 3446046720.

The previous prime is 12994023157. The next prime is 12994023173. The reversal of 12994023168 is 86132049921.

12994023168 is a `hidden beast` number, since 1 + 299 + 40 + 2 + 316 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22756323 + ... + 22756893.

It is an arithmetic number, because the mean of its divisors is an integer number (106394288).

Almost surely, 212994023168 is an apocalyptic number.

12994023168 is a gapful number since it is divisible by the number (18) 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 12994023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22981166208).

12994023168 is an abundant number, since it is smaller than the sum of its proper divisors (32968309248).

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

12994023168 is a wasteful number, since it uses less digits than its factorization.

12994023168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12994023168 in words is "twelve billion, nine hundred ninety-four million, twenty-three thousand, one hundred sixty-eight".