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12320738468064 = 2532133290795531
BaseRepresentation
bin1011001101001010010100…
…1111010110000011100000
31121121211222110002110112100
42303102211033112003200
53103330333021434224
642112022532330400
72411100246011025
oct263224517260340
947554873073470
1012320738468064
113a20217734104
12146ba12473a00
136b4ac0bb3970
1430848111554c
151657560baac9
hexb34a53d60e0

12320738468064 has 72 divisors (see below), whose sum is σ = 37732261569912. Its totient is φ = 3790996450560.

The previous prime is 12320738468021. The next prime is 12320738468117. The reversal of 12320738468064 is 46086483702321.

12320738468064 is a `hidden beast` number, since 123 + 2 + 0 + 7 + 384 + 6 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12320738468064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1645394022 + ... + 1645401509.

It is an arithmetic number, because the mean of its divisors is an integer number (524059188471).

Almost surely, 212320738468064 is an apocalyptic number.

It is an amenable number.

12320738468064 is an abundant number, since it is smaller than the sum of its proper divisors (25411523101848).

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

12320738468064 is a wasteful number, since it uses less digits than its factorization.

12320738468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290795560 (or 3290795549 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 12320738468064 in words is "twelve trillion, three hundred twenty billion, seven hundred thirty-eight million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3290795531 6581591062 9872386593 13163182124 19744773186 26326364248 29617159779 39489546372 42780341903 52652728496 59234319558 78979092744 85560683806 105305456992 118468639116 128341025709 157958185488 171121367612 236937278232 256682051418 315916370976 342242735224 385023077127 473874556464 513364102836 684485470448 770046154254 947749112928 1026728205672 1368970940896 1540092308508 2053456411344 3080184617016 4106912822688 6160369234032 12320738468064