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9967999704 = 23313414431759
BaseRepresentation
bin10010100100010001…
…11001101011011000
3221201200112211222020
421102020321223120
5130403301442304
64325040454440
7502005412425
oct112210715330
927650484866
109967999704
114255748793
121b2231a420
13c2b194ba0
146a7bd2d4c
153d518b5d9
hex252239ad8

9967999704 has 128 divisors (see below), whose sum is σ = 27569203200. Its totient is φ = 2983818240.

The previous prime is 9967999703. The next prime is 9967999729. The reversal of 9967999704 is 4079997699.

It is a super-2 number, since 2×99679997042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967999703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5665977 + ... + 5667735.

It is an arithmetic number, because the mean of its divisors is an integer number (215384400).

Almost surely, 29967999704 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 9967999704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784601600).

9967999704 is an abundant number, since it is smaller than the sum of its proper divisors (17601203496).

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

9967999704 is a wasteful number, since it uses less digits than its factorization.

9967999704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 69441624, while the sum is 69.

The square root of 9967999704 is about 99839.8703124158. The cubic root of 9967999704 is about 2152.1341494249.

The spelling of 9967999704 in words is "nine billion, nine hundred sixty-seven million, nine hundred ninety-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 443 492 533 886 984 1066 1329 1599 1759 1772 2132 2658 3198 3518 3544 4264 5277 5316 5759 6396 7036 10554 10632 11518 12792 14072 17277 18163 21108 22867 23036 34554 36326 42216 45734 46072 54489 68601 69108 72119 72652 91468 108978 137202 138216 144238 145304 182936 216357 217956 236119 274404 288476 432714 435912 472238 548808 576952 708357 779237 865428 937547 944476 1416714 1558474 1730856 1875094 1888952 2337711 2812641 2833428 3116948 3750188 4675422 5625282 5666856 6233896 7500376 9350844 10130081 11250564 18701688 20260162 22501128 30390243 31948717 40520324 60780486 63897434 81040648 95846151 121560972 127794868 191692302 243121944 255589736 383384604 415333321 766769208 830666642 1245999963 1661333284 2491999926 3322666568 4983999852 9967999704