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12307335929856 = 2133211192127331
BaseRepresentation
bin1011001100011000011001…
…1000101110000000000000
31121120120101101211222110100
42303012012120232000000
53103120410444223411
642101525001402400
72410114154220432
oct263060630560000
947516341758410
1012307335929856
113a1556a30a850
1214692b1a99400
136b37662c2296
1430796d124652
1516521e653456
hexb318662e000

12307335929856 has 1008 divisors, whose sum is σ = 41380054530048. Its totient is φ = 3494795673600.

The previous prime is 12307335929807. The next prime is 12307335929939. The reversal of 12307335929856 is 65892953370321.

It is a happy number.

12307335929856 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 33 + 592 + 9 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12307335929793 and 12307335929802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37182283611 + ... + 37182283941.

Almost surely, 212307335929856 is an apocalyptic number.

12307335929856 is a gapful number since it is divisible by the number (16) 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 12307335929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690027265024).

12307335929856 is an abundant number, since it is smaller than the sum of its proper divisors (29072718600192).

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

12307335929856 is a wasteful number, since it uses less digits than its factorization.

12307335929856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 12307335929856 in words is "twelve trillion, three hundred seven billion, three hundred thirty-five million, nine hundred twenty-nine thousand, eight hundred fifty-six".