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9946122592 = 257113443887
BaseRepresentation
bin10010100001101010…
…11100100101100000
3221200011101101012211
421100311130211200
5130332201410332
64322535531504
7501321434650
oct112065344540
927604341184
109946122592
11424436612a
121b16b29b94
13c267a5253
146a4d3a360
153d32b9447
hex250d5c960

9946122592 has 96 divisors (see below), whose sum is σ = 22653292032. Its totient is φ = 4210612224.

The previous prime is 9946122587. The next prime is 9946122631. The reversal of 9946122592 is 2952216499.

It is a congruent number.

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, 11212773 + ... + 11213659.

It is an arithmetic number, because the mean of its divisors is an integer number (235971792).

Almost surely, 29946122592 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 9946122592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326646016).

9946122592 is an abundant number, since it is smaller than the sum of its proper divisors (12707169440).

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

9946122592 is a wasteful number, since it uses less digits than its factorization.

9946122592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 9946122592 is about 99730.2491323470. The cubic root of 9946122592 is about 2150.5585418875.

The spelling of 9946122592 in words is "nine billion, nine hundred forty-six million, one hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 443 452 791 886 887 904 1582 1772 1774 1808 3101 3164 3544 3548 3616 6202 6209 6328 7088 7096 12404 12418 12656 14176 14192 24808 24836 25312 28384 49616 49672 50059 99232 99344 100118 100231 198688 200236 200462 350413 392941 400472 400924 700826 701617 785882 800944 801848 1401652 1403234 1571764 1601888 1603696 2750587 2803304 2806468 3143528 3207392 5501174 5606608 5612936 6287056 11002348 11213216 11225872 12574112 22004696 22451744 44009392 44402333 88018784 88804666 177609332 310816331 355218664 621632662 710437328 1243265324 1420874656 2486530648 4973061296 9946122592