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12335213495808 = 29357311632803
BaseRepresentation
bin1011001110000000010000…
…0001001100011000000000
31121200020100020102001200000
42303200010001030120000
53104100004123331213
642122415134400000
72412122042505060
oct263400401143000
947606306361600
1012335213495808
113a26375492755
121472792060000
136b6289a43238
143090557233a0
15165d01c82c73
hexb380404c600

12335213495808 has 960 divisors, whose sum is σ = 43836799598592. Its totient is φ = 3388524503040.

The previous prime is 12335213495753. The next prime is 12335213495851. The reversal of 12335213495808 is 80859431253321.

12335213495808 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 2 + 13 + 49 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4400716935 + ... + 4400719737.

Almost surely, 212335213495808 is an apocalyptic number.

12335213495808 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 12335213495808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21918399799296).

12335213495808 is an abundant number, since it is smaller than the sum of its proper divisors (31501586102784).

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

12335213495808 is an equidigital number, since it uses as much as digits as its factorization.

12335213495808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12335213495808 in words is "twelve trillion, three hundred thirty-five billion, two hundred thirteen million, four hundred ninety-five thousand, eight hundred eight".