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18693295056 = 24324315119993
BaseRepresentation
bin10001011010001101…
…010000101111010000
31210020202201210001100
4101122031100233100
5301240440420211
612330530104400
71231144246332
oct213215205720
953222653040
1018693295056
117a22972287
12375841b100
1319bba62b47
14c9493b452
157461a4156
hex45a350bd0

18693295056 has 120 divisors (see below), whose sum is σ = 53889108416. Its totient is φ = 6045580800.

The previous prime is 18693295051. The next prime is 18693295087. The reversal of 18693295056 is 65059239681.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18693294993 and 18693295011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18693295051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924996 + ... + 944988.

Almost surely, 218693295056 is an apocalyptic number.

18693295056 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 18693295056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26944554208).

18693295056 is an abundant number, since it is smaller than the sum of its proper divisors (35195813360).

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

18693295056 is a wasteful number, since it uses less digits than its factorization.

18693295056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 18693295056 in words is "eighteen billion, six hundred ninety-three million, two hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 151 172 258 302 344 387 453 516 604 688 774 906 1032 1208 1359 1548 1812 2064 2416 2718 3096 3624 5436 6192 6493 7248 10872 12986 19479 19993 21744 25972 38958 39986 51944 58437 59979 77916 79972 103888 116874 119958 155832 159944 179937 233748 239916 311664 319888 359874 467496 479832 719748 859699 934992 959664 1439496 1719398 2579097 2878992 3018943 3438796 5158194 6037886 6877592 7737291 9056829 10316388 12075772 13755184 15474582 18113658 20632776 24151544 27170487 30949164 36227316 41265552 48303088 54340974 61898328 72454632 108681948 123796656 129814549 144909264 217363896 259629098 389443647 434727792 519258196 778887294 1038516392 1168330941 1557774588 2077032784 2336661882 3115549176 4673323764 6231098352 9346647528 18693295056