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15993356112 = 24322394431049
BaseRepresentation
bin11101110010100011…
…10011111101010000
31112021121022200002200
432321101303331100
5230223244343422
611203001043200
71104221166246
oct167121637520
945247280080
1015993356112
116867918188
123124186500
13167b59b136
14aba122796
156391322ac
hex3b9473f50

15993356112 has 120 divisors (see below), whose sum is σ = 45090864000. Its totient is φ = 5291779584.

The previous prime is 15993356083. The next prime is 15993356143. The reversal of 15993356112 is 21165339951.

15993356112 is a `hidden beast` number, since 1 + 59 + 9 + 33 + 561 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15245764 + ... + 15246812.

It is an arithmetic number, because the mean of its divisors is an integer number (375757200).

Almost surely, 215993356112 is an apocalyptic number.

15993356112 is a gapful number since it is divisible by the number (12) 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 15993356112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545432000).

15993356112 is an abundant number, since it is smaller than the sum of its proper divisors (29097507888).

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

15993356112 is a wasteful number, since it uses less digits than its factorization.

15993356112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 15993356112 in words is "fifteen billion, nine hundred ninety-three million, three hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 443 478 717 886 956 1049 1329 1434 1772 1912 2098 2151 2658 2868 3147 3544 3824 3987 4196 4302 5316 5736 6294 7088 7974 8392 8604 9441 10632 11472 12588 15948 16784 17208 18882 21264 25176 31896 34416 37764 50352 63792 75528 105877 151056 211754 250711 317631 423508 464707 501422 635262 752133 847016 929414 952893 1002844 1270524 1394121 1504266 1694032 1858828 1905786 2005688 2256399 2541048 2788242 3008532 3717656 3811572 4011376 4182363 4512798 5082096 5576484 6017064 7435312 7623144 8364726 9025596 11152968 12034128 15246288 16729452 18051192 22305936 33458904 36102384 66917808 111064973 222129946 333194919 444259892 666389838 888519784 999584757 1332779676 1777039568 1999169514 2665559352 3998339028 5331118704 7996678056 15993356112