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9982470912 = 28317375133
BaseRepresentation
bin10010100110000000…
…00110101100000000
3221202200210001201220
421103000012230000
5130421003032122
64330314555040
7502242413511
oct112300065400
927680701656
109982470912
114262932167
121b27138a80
13c3119092b
146a9abca08
153d659925c
hex253006b00

9982470912 has 72 divisors (see below), whose sum is σ = 26721857904. Its totient is φ = 3308212224.

The previous prime is 9982470863. The next prime is 9982470923. The reversal of 9982470912 is 2190742899.

It is a super-2 number, since 2×99824709122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95298 + ... + 170430.

Almost surely, 29982470912 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 9982470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13360928952).

9982470912 is an abundant number, since it is smaller than the sum of its proper divisors (16739386992).

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

9982470912 is a wasteful number, since it uses less digits than its factorization.

9982470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75325 (or 75311 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 9982470912 is about 99912.3161176839. The cubic root of 9982470912 is about 2153.1751112603.

The spelling of 9982470912 in words is "nine billion, nine hundred eighty-two million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 44288 66432 75133 132864 150266 225399 300532 450798 601064 901596 1202128 1803192 2404256 3606384 4808512 7212768 9617024 12998009 14425536 19234048 25996018 28851072 38994027 51992036 57702144 77988054 103984072 155976108 207968144 311952216 415936288 623904432 831872576 1247808864 1663745152 2495617728 3327490304 4991235456 9982470912