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19851320304 = 2432415956989
BaseRepresentation
bin10010011111001110…
…110001101111110000
31220020110202120001100
4102133032301233300
5311123414222204
613041454404400
71301635303254
oct223716615760
956213676040
1019851320304
118467609842
123a20200700
131b4494b99a
14d64662264
157b2b9ca39
hex49f3b1bf0

19851320304 has 120 divisors (see below), whose sum is σ = 57876764400. Its totient is φ = 6346183680.

The previous prime is 19851320303. The next prime is 19851320317. The reversal of 19851320304 is 40302315891.

19851320304 is a `hidden beast` number, since 1 + 98 + 513 + 20 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19851320303) 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, 319842 + ... + 376830.

It is an arithmetic number, because the mean of its divisors is an integer number (482306370).

Almost surely, 219851320304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19851320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28938382200).

19851320304 is an abundant number, since it is smaller than the sum of its proper divisors (38025444096).

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

19851320304 is a wasteful number, since it uses less digits than its factorization.

19851320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57103 (or 57094 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19851320304 in words is "nineteen billion, eight hundred fifty-one million, three hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 59 72 82 118 123 144 164 177 236 246 328 354 369 472 492 531 656 708 738 944 984 1062 1416 1476 1968 2124 2419 2832 2952 4248 4838 5904 7257 8496 9676 14514 19352 21771 29028 38704 43542 56989 58056 87084 113978 116112 170967 174168 227956 341934 348336 455912 512901 683868 911824 1025802 1367736 2051604 2336549 2735472 3362351 4103208 4673098 6724702 7009647 8206416 9346196 10087053 13449404 14019294 18692392 20174106 21028941 26898808 28038588 30261159 37384784 40348212 42057882 53797616 56077176 60522318 80696424 84115764 112154352 121044636 137856391 161392848 168231528 242089272 275712782 336463056 413569173 484178544 551425564 827138346 1102851128 1240707519 1654276692 2205702256 2481415038 3308553384 4962830076 6617106768 9925660152 19851320304