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8916333680 = 2451917932771
BaseRepresentation
bin10000100110111010…
…00111010001110000
3212000101122200101202
420103131013101300
5121230040134210
64032431550332
7433645404632
oct102335072160
925011580352
108916333680
113866046511
12188a08b3a8
13ac13381b7
14608276a52
15372ba19a5
hex213747470

8916333680 has 80 divisors (see below), whose sum is σ = 21944131200. Its totient is φ = 3359842560.

The previous prime is 8916333659. The next prime is 8916333691. The reversal of 8916333680 is 863336198.

It is a tau number, because it is divible by the number of its divisors (80).

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, 255695 + ... + 288465.

It is an arithmetic number, because the mean of its divisors is an integer number (274301640).

Almost surely, 28916333680 is an apocalyptic number.

8916333680 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 8916333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972065600).

8916333680 is an abundant number, since it is smaller than the sum of its proper divisors (13027797520).

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

8916333680 is a wasteful number, since it uses less digits than its factorization.

8916333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32982 (or 32976 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 8916333680 is about 94426.3399693115. The cubic root of 8916333680 is about 2073.6180805922.

The spelling of 8916333680 in words is "eight billion, nine hundred sixteen million, three hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 179 190 304 358 380 716 760 895 1432 1520 1790 2864 3401 3580 6802 7160 13604 14320 17005 27208 32771 34010 54416 65542 68020 131084 136040 163855 262168 272080 327710 524336 622649 655420 1245298 1310840 2490596 2621680 3113245 4981192 5866009 6226490 9962384 11732018 12452980 23464036 24905960 29330045 46928072 49811920 58660090 93856144 111454171 117320180 222908342 234640360 445816684 469280720 557270855 891633368 1114541710 1783266736 2229083420 4458166840 8916333680