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9939629676 = 223192314912721
BaseRepresentation
bin10010100000111001…
…01011011001101100
3221122201011111121110
421100130223121230
5130324021122201
64322144432020
7501212313114
oct112034533154
927581144543
109939629676
114240730989
121b14918610
13c25340aa2
146a412a044
153d29356d6
hex25072b66c

9939629676 has 96 divisors (see below), whose sum is σ = 25647552000. Its totient is φ = 2981975040.

The previous prime is 9939629669. The next prime is 9939629719. The reversal of 9939629676 is 6769269399.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774996 + ... + 787716.

It is an arithmetic number, because the mean of its divisors is an integer number (267162000).

Almost surely, 29939629676 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 9939629676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823776000).

9939629676 is an abundant number, since it is smaller than the sum of its proper divisors (15707922324).

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

9939629676 is a wasteful number, since it uses less digits than its factorization.

9939629676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12919 (or 12917 counting only the distinct ones).

The product of its digits is 59521392, while the sum is 66.

The square root of 9939629676 is about 99697.6914276354. The cubic root of 9939629676 is about 2150.0904721979.

The spelling of 9939629676 in words is "nine billion, nine hundred thirty-nine million, six hundred twenty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 149 228 276 298 437 447 596 874 894 1311 1748 1788 2622 2831 3427 5244 5662 6854 8493 10281 11324 12721 13708 16986 20562 25442 33972 38163 41124 50884 65113 76326 130226 152652 195339 241699 260452 292583 390678 483398 585166 725097 781356 877749 966796 1170332 1450194 1755498 1895429 2900388 3510996 3790858 5559077 5686287 7581716 11118154 11372574 16677231 22236308 22745148 33354462 36013151 43594867 66708924 72026302 87189734 108039453 130784601 144052604 174379468 216078906 261569202 432157812 523138404 828302473 1656604946 2484907419 3313209892 4969814838 9939629676