Search a number
-
+
9989263920 = 2435173178979
BaseRepresentation
bin10010100110110100…
…00001001000110000
3221210011120011222210
421103122001020300
5130424222421140
64331120332120
7502354225266
oct112332011060
927704504883
109989263920
114266751919
121b29474040
13c326cb86c
146aa96a436
153d6e8bd80
hex253681230

9989263920 has 160 divisors (see below), whose sum is σ = 33846405120. Its totient is φ = 2426204160.

The previous prime is 9989263919. The next prime is 9989263931. The reversal of 9989263920 is 293629899.

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, 86991 + ... + 165969.

It is an arithmetic number, because the mean of its divisors is an integer number (211540032).

Almost surely, 29989263920 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 9989263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923202560).

9989263920 is an abundant number, since it is smaller than the sum of its proper divisors (23857141200).

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

9989263920 is a wasteful number, since it uses less digits than its factorization.

9989263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79043 (or 79037 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 9989263920 is about 99946.3051843339. The cubic root of 9989263920 is about 2153.6634078415.

The spelling of 9989263920 in words is "nine billion, nine hundred eighty-nine million, two hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1581 1860 2040 2108 2480 2635 3162 3720 4080 4216 5270 6324 7440 7905 8432 10540 12648 15810 21080 25296 31620 42160 63240 78979 126480 157958 236937 315916 394895 473874 631832 789790 947748 1184685 1263664 1342643 1579580 1895496 2369370 2448349 2685286 3159160 3790992 4027929 4738740 4896698 5370572 6318320 6713215 7345047 8055858 9477480 9793396 10741144 12241745 13426430 14690094 16111716 18954960 19586792 20139645 21482288 24483490 26852860 29380188 32223432 36725235 39173584 40279290 41621933 48966980 53705720 58760376 64446864 73450470 80558580 83243866 97933960 107411440 117520752 124865799 146900940 161117160 166487732 195867920 208109665 249731598 293801880 322234320 332975464 416219330 499463196 587603760 624328995 665950928 832438660 998926392 1248657990 1664877320 1997852784 2497315980 3329754640 4994631960 9989263920