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9990305480 = 235974016421
BaseRepresentation
bin10010100110111011…
…11111011011001000
3221210020112002202002
421103131333123020
5130430004233410
64331154530132
7502366124021
oct112335773310
927706462662
109990305480
1142672a3411
121b29896948
13c329a497c
146aab5bc48
153d70e57a5
hex25377f6c8

9990305480 has 64 divisors (see below), whose sum is σ = 22770100080. Its totient is φ = 3944448000.

The previous prime is 9990305473. The next prime is 9990305503. The reversal of 9990305480 is 845030999.

It can be written as a sum of positive squares in 8 ways, for example, as 6285635524 + 3704669956 = 79282^2 + 60866^2 .

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, 1552670 + ... + 1559090.

Almost surely, 29990305480 is an apocalyptic number.

It is an amenable number.

9990305480 is an abundant number, since it is smaller than the sum of its proper divisors (12779794600).

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

9990305480 is a wasteful number, since it uses less digits than its factorization.

9990305480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 9990305480 is about 99951.5156463372. The cubic root of 9990305480 is about 2153.7382579245.

The spelling of 9990305480 in words is "nine billion, nine hundred ninety million, three hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 401 485 776 802 970 1604 1940 2005 3208 3880 4010 6421 8020 12842 16040 25684 32105 38897 51368 64210 77794 128420 155588 194485 256840 311176 388970 622837 777940 1245674 1555880 2491348 2574821 3114185 4982696 5149642 6228370 10299284 12456740 12874105 20598568 24913480 25748210 51496420 102992840 249757637 499515274 999030548 1248788185 1998061096 2497576370 4995152740 9990305480