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19013856192 = 263397113437
BaseRepresentation
bin10001101101010100…
…000110101111000000
31211002002220222021000
4101231110012233000
5302420021344232
612422420532000
71242116053032
oct215524065700
954062828230
1019013856192
11807790a641
123827851000
131a402ac5a6
14cc5343c52
157643c527c
hex46d506bc0

19013856192 has 112 divisors (see below), whose sum is σ = 56473973920. Its totient is φ = 6272557056.

The previous prime is 19013856097. The next prime is 19013856217. The reversal of 19013856192 is 29165831091.

19013856192 is a `hidden beast` number, since 19 + 0 + 13 + 8 + 5 + 619 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110898 + ... + 224334.

It is an arithmetic number, because the mean of its divisors is an integer number (504231910).

Almost surely, 219013856192 is an apocalyptic number.

19013856192 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 19013856192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28236986960).

19013856192 is an abundant number, since it is smaller than the sum of its proper divisors (37460117728).

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

19013856192 is a wasteful number, since it uses less digits than its factorization.

19013856192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113555 (or 113539 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 19013856192 in words is "nineteen billion, thirteen million, eight hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 144 192 194 216 288 291 388 432 576 582 776 864 873 1164 1552 1728 1746 2328 2619 3104 3492 4656 5238 6208 6984 9312 10476 13968 18624 20952 27936 41904 55872 83808 113437 167616 226874 340311 453748 680622 907496 1020933 1361244 1814992 2041866 2722488 3062799 3629984 4083732 5444976 6125598 7259968 8167464 10889952 11003389 12251196 16334928 21779904 22006778 24502392 32669856 33010167 44013556 49004784 65339712 66020334 88027112 98009568 99030501 132040668 176054224 196019136 198061002 264081336 297091503 352108448 396122004 528162672 594183006 704216896 792244008 1056325344 1188366012 1584488016 2112650688 2376732024 3168976032 4753464048 6337952064 9506928096 19013856192