Search a number
-
+
19857879216 = 2433759111301
BaseRepresentation
bin10010011111100111…
…110011000010110000
31220020221002210012000
4102133213303002300
5311132104113331
613042251134000
71302045121410
oct223747630260
956227083160
1019857879216
11847028962a
123a22444300
131b461071b6
14d6548c640
157b35460e6
hex49f9f30b0

19857879216 has 160 divisors (see below), whose sum is σ = 66246950400. Its totient is φ = 5577465600.

The previous prime is 19857879187. The next prime is 19857879227. The reversal of 19857879216 is 61297875891.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122766 + ... + 234066.

It is an arithmetic number, because the mean of its divisors is an integer number (414043440).

Almost surely, 219857879216 is an apocalyptic number.

19857879216 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 19857879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33123475200).

19857879216 is an abundant number, since it is smaller than the sum of its proper divisors (46389071184).

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

19857879216 is a wasteful number, since it uses less digits than its factorization.

19857879216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111384 (or 111372 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 63.

It can be divided in two parts, 1985787 and 9216, that added together give a triangular number (1995003 = T1997).

The spelling of 19857879216 in words is "nineteen billion, eight hundred fifty-seven million, eight hundred seventy-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4956 6372 6608 7434 8496 9912 11151 12744 14868 19824 22302 25488 29736 44604 59472 89208 111301 178416 222602 333903 445204 667806 779107 890408 1001709 1335612 1558214 1780816 2003418 2337321 2671224 3005127 3116428 4006836 4674642 5342448 6010254 6232856 6566759 7011963 8013672 9349284 12020508 12465712 13133518 14023926 16027344 18698568 19700277 21035889 24041016 26267036 28047852 37397136 39400554 42071778 45967313 48082032 52534072 56095704 59100831 78801108 84143556 91934626 105068144 112191408 118201662 137901939 157602216 168287112 177302493 183869252 236403324 275803878 315204432 336574224 354604986 367738504 413705817 472806648 551607756 709209972 735477008 827411634 945613296 1103215512 1241117451 1418419944 1654823268 2206431024 2482234902 2836839888 3309646536 4964469804 6619293072 9928939608 19857879216