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12331660463640 = 23335729431308077
BaseRepresentation
bin1011001101110011000000…
…1111011100111000011000
31121122220011121202022211000
42303130300033130320120
53104020220034314030
642121030412505000
72411635020311520
oct263346017347030
947586147668730
1012331660463640
113a24911934031
121471b6017b160
136b5b418c933b
14308bd98bc680
15165b94d9c860
hexb37303dce18

12331660463640 has 512 divisors, whose sum is σ = 49727893248000. Its totient is φ = 2658177865728.

The previous prime is 12331660463587. The next prime is 12331660463657. The reversal of 12331660463640 is 4636406613321.

12331660463640 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 6 + 6 + 0 + 4 + 636 + 4 + 0 = 666.

12331660463640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8773282 + ... + 10081358.

It is an arithmetic number, because the mean of its divisors is an integer number (97124791500).

Almost surely, 212331660463640 is an apocalyptic number.

12331660463640 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 12331660463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24863946624000).

12331660463640 is an abundant number, since it is smaller than the sum of its proper divisors (37396232784360).

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

12331660463640 is a wasteful number, since it uses less digits than its factorization.

12331660463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308176 (or 1308166 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 12331660463640 in words is "twelve trillion, three hundred thirty-one billion, six hundred sixty million, four hundred sixty-three thousand, six hundred forty".