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9923869408 = 25171273792
BaseRepresentation
bin10010011111000001…
…00011101011100000
3221121121111210120211
421033200203223200
5130311002310113
64320422543504
7500631332605
oct111740435340
927547453524
109923869408
114232846a72
121b0b597b94
13c21cb339b
146a1dc66ac
153d1370b3d
hex24f823ae0

9923869408 has 72 divisors (see below), whose sum is σ = 20904936192. Its totient is φ = 4621059072.

The previous prime is 9923869399. The next prime is 9923869427. The reversal of 9923869408 is 8049683299.

It is a congruent number.

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, 26184163 + ... + 26184541.

It is an arithmetic number, because the mean of its divisors is an integer number (290346336).

Almost surely, 29923869408 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 9923869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452468096).

9923869408 is an abundant number, since it is smaller than the sum of its proper divisors (10981066784).

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

9923869408 is a wasteful number, since it uses less digits than its factorization.

9923869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The square root of 9923869408 is about 99618.6197856606. The cubic root of 9923869408 is about 2148.9534771979.

The spelling of 9923869408 in words is "nine billion, nine hundred twenty-three million, eight hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 379 508 544 758 1016 1516 2032 2159 3032 4064 4318 6064 6443 8636 12128 12886 17272 25772 34544 48133 51544 69088 96266 103088 143641 192532 206176 287282 385064 574564 770128 818261 1149128 1540256 1636522 2298256 2441897 3273044 4596512 4883794 6546088 9767588 13092176 18242407 19535176 26184352 36484814 39070352 72969628 78140704 145939256 291878512 310120919 583757024 620241838 1240483676 2480967352 4961934704 9923869408