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969482016 = 253223146359
BaseRepresentation
bin111001110010010…
…001111100100000
32111120020210022100
4321302101330200
53441141411031
6240111210400
733011314116
oct7162217440
92446223270
10969482016
1145827a208
12230816a00
13125b134c9
1492a85ab6
155a1a3de6
hex39c91f20

969482016 has 72 divisors (see below), whose sum is σ = 2876852160. Its totient is φ = 309108096.

The previous prime is 969481987. The next prime is 969482071. The reversal of 969482016 is 610284969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66556 + ... + 79803.

It is an arithmetic number, because the mean of its divisors is an integer number (39956280).

Almost surely, 2969482016 is an apocalyptic number.

969482016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

969482016 is an abundant number, since it is smaller than the sum of its proper divisors (1907370144).

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

969482016 is a wasteful number, since it uses less digits than its factorization.

969482016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146398 (or 146387 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 969482016 is about 31136.5061623812. The cubic root of 969482016 is about 989.7220646174.

The spelling of 969482016 in words is "nine hundred sixty-nine million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 146359 292718 439077 585436 878154 1170872 1317231 1756308 2341744 2634462 3366257 3512616 4683488 5268924 6732514 7025232 10098771 10537848 13465028 14050464 20197542 21075696 26930056 30296313 40395084 42151392 53860112 60592626 80790168 107720224 121185252 161580336 242370504 323160672 484741008 969482016