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9929985792 = 28313039923
BaseRepresentation
bin10010011111101111…
…11000111100000000
3221122001000112200120
421033313320330000
5130314034021132
64321202020240
7501034325616
oct111767707400
927561015616
109929985792
114236244331
121b11647680
13c2334534c
146a2b396b6
153d1b7d02c
hex24fdf8f00

9929985792 has 72 divisors (see below), whose sum is σ = 26451191424. Its totient is φ = 3307121664.

The previous prime is 9929985773. The next prime is 9929985803. The reversal of 9929985792 is 2975899299.

It is a congruent number.

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, 995743 + ... + 1005665.

Almost surely, 29929985792 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 9929985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225595712).

9929985792 is an abundant number, since it is smaller than the sum of its proper divisors (16521205632).

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

9929985792 is a wasteful number, since it uses less digits than its factorization.

9929985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11245 (or 11231 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 69.

The square root of 9929985792 is about 99649.3140568464. The cubic root of 9929985792 is about 2149.3948750954.

The spelling of 9929985792 in words is "nine billion, nine hundred twenty-nine million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1303 2606 3909 5212 7818 9923 10424 15636 19846 20848 29769 31272 39692 41696 59538 62544 79384 83392 119076 125088 158768 166784 238152 250176 317536 333568 476304 500352 635072 952608 1000704 1270144 1905216 2540288 3810432 7620864 12929669 25859338 38789007 51718676 77578014 103437352 155156028 206874704 310312056 413749408 620624112 827498816 1241248224 1654997632 2482496448 3309995264 4964992896 9929985792