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8991391920 = 2435711347363
BaseRepresentation
bin10000101111110110…
…11100000010110000
3212012121220000221120
420113323130002300
5121403244020140
64044112422240
7435546366420
oct102773340260
925177800846
108991391920
1138a4451915
1218ab247980
13b03a58164
14614214480
1537957b1d0
hex217edc0b0

8991391920 has 160 divisors (see below), whose sum is σ = 32137800192. Its totient is φ = 2036944896.

The previous prime is 8991391883. The next prime is 8991391943. The reversal of 8991391920 is 291931998.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 166159 + ... + 213521.

Almost surely, 28991391920 is an apocalyptic number.

8991391920 is a gapful number since it is divisible by the number (80) 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 8991391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068900096).

8991391920 is an abundant number, since it is smaller than the sum of its proper divisors (23146408272).

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

8991391920 is a wasteful number, since it uses less digits than its factorization.

8991391920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47499 (or 47493 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The square root of 8991391920 is about 94822.9503864966. The cubic root of 8991391920 is about 2079.4204438078.

The spelling of 8991391920 in words is "eight billion, nine hundred ninety-one million, three hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 113 120 140 168 210 226 240 280 336 339 420 452 560 565 678 791 840 904 1130 1356 1582 1680 1695 1808 2260 2373 2712 3164 3390 3955 4520 4746 5424 6328 6780 7910 9040 9492 11865 12656 13560 15820 18984 23730 27120 31640 37968 47363 47460 63280 94726 94920 142089 189452 189840 236815 284178 331541 378904 473630 568356 663082 710445 757808 947260 994623 1136712 1326164 1420890 1657705 1894520 1989246 2273424 2652328 2841780 3315410 3789040 3978492 4973115 5304656 5352019 5683560 6630820 7956984 9946230 10704038 11367120 13261640 15913968 16056057 19892460 21408076 26523280 26760095 32112114 37464133 39784920 42816152 53520190 64224228 74928266 79569840 80280285 85632304 107040380 112392399 128448456 149856532 160560570 187320665 214080760 224784798 256896912 299713064 321121140 374641330 428161520 449569596 561961995 599426128 642242280 749282660 899139192 1123923990 1284484560 1498565320 1798278384 2247847980 2997130640 4495695960 8991391920