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868946831136 = 25341933315297
BaseRepresentation
bin11001010010100010100…
…01000110011100100000
310002001220101202122210000
430221101101012130200
5103214100342044021
61503104430140000
7116531212124346
oct14512121063440
93061811678700
10868946831136
1130557791847a
121204a8651600
1363c3115c287
14300b314d996
151790b21cb26
hexca51446720

868946831136 has 240 divisors, whose sum is σ = 2691366622560. Its totient is φ = 274270095360.

The previous prime is 868946831131. The next prime is 868946831147. The reversal of 868946831136 is 631138649868.

868946831136 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 468 + 31 + 136 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (868946831131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164042440 + ... + 164047736.

It is an arithmetic number, because the mean of its divisors is an integer number (11214027594).

Almost surely, 2868946831136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868946831136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345683311280).

868946831136 is an abundant number, since it is smaller than the sum of its proper divisors (1822419791424).

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

868946831136 is a wasteful number, since it uses less digits than its factorization.

868946831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8652 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 868946831136 in words is "eight hundred sixty-eight billion, nine hundred forty-six million, eight hundred thirty-one thousand, one hundred thirty-six".