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968689896 = 2332337431103
BaseRepresentation
bin111001101111010…
…000100011101000
32111111202112201120
4321233100203220
53440441034041
6240042215240
733001504536
oct7157204350
92444675646
10968689896
11457889069
122304b4520
131258c6ab5
149291b156
155a099366
hex39bd08e8

968689896 has 128 divisors (see below), whose sum is σ = 2658078720. Its totient is φ = 293255424.

The previous prime is 968689877. The next prime is 968689913. The reversal of 968689896 is 698986869.

968689896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9686898962 = 1876720229224981632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

968689896 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 968689896.

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, 877681 + ... + 878783.

It is an arithmetic number, because the mean of its divisors is an integer number (20766240).

Almost surely, 2968689896 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 968689896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329039360).

968689896 is an abundant number, since it is smaller than the sum of its proper divisors (1689388824).

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

968689896 is a wasteful number, since it uses less digits than its factorization.

968689896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 69.

The square root of 968689896 is about 31123.7834461044. The cubic root of 968689896 is about 989.4524387610.

The spelling of 968689896 in words is "nine hundred sixty-eight million, six hundred eighty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 37 43 46 69 74 86 92 111 129 138 148 172 184 222 258 276 296 344 444 516 552 851 888 989 1032 1103 1591 1702 1978 2206 2553 2967 3182 3309 3404 3956 4412 4773 5106 5934 6364 6618 6808 7912 8824 9546 10212 11868 12728 13236 19092 20424 23736 25369 26472 36593 38184 40811 47429 50738 73186 76107 81622 94858 101476 109779 122433 142287 146372 152214 163244 189716 202952 219558 244866 284574 292744 304428 326488 379432 439116 489732 569148 608856 878232 938653 979464 1090867 1138296 1754873 1877306 2181734 2815959 3272601 3509746 3754612 4363468 5264619 5631918 6545202 7019492 7509224 8726936 10529238 11263836 13090404 14038984 21058476 22527672 26180808 40362079 42116952 80724158 121086237 161448316 242172474 322896632 484344948 968689896