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8869339688 = 23112171921493
BaseRepresentation
bin10000100001010011…
…10110001000101000
3211220010020010202112
420100221312020220
5121131022332223
64024032421452
7432535100126
oct102051661050
924803203675
108869339688
113841569200
1218763a7888
13ab46930c1
14601d22916
1536d9bc778
hex210a76228

8869339688 has 144 divisors (see below), whose sum is σ = 20440474740. Its totient is φ = 3592258560.

The previous prime is 8869339679. The next prime is 8869339691.

8869339688 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7778887204 + 1090452484 = 88198^2 + 33022^2 .

It is a super-2 number, since 2×88693396882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5939870 + ... + 5941362.

Almost surely, 28869339688 is an apocalyptic number.

8869339688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8869339688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220237370).

8869339688 is an abundant number, since it is smaller than the sum of its proper divisors (11571135052).

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

8869339688 is a wasteful number, since it uses less digits than its factorization.

8869339688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1542 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 68.

The square root of 8869339688 is about 94177.1717986902. The cubic root of 8869339688 is about 2069.9686248521.

The spelling of 8869339688 in words is "eight billion, eight hundred sixty-nine million, three hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 121 136 152 187 209 242 323 361 374 418 484 646 722 748 836 968 1292 1444 1493 1496 1672 2057 2299 2584 2888 2986 3553 3971 4114 4598 5972 6137 7106 7942 8228 9196 11944 12274 14212 15884 16423 16456 18392 24548 25381 28367 28424 31768 32846 39083 43681 49096 50762 56734 65692 67507 78166 87362 101524 113468 131384 135014 156332 174724 180653 203048 226936 270028 279191 312037 312664 349448 361306 482239 538973 540056 558382 624074 722612 742577 964478 1077946 1116764 1248148 1445224 1485154 1928956 2155892 2233528 2496296 2970308 3071101 3432407 3857912 4311784 5304629 5928703 5940616 6142202 6864814 9162541 10609258 11857406 12284404 13729628 18325082 21218516 23714812 24568808 27459256 36650164 42437032 47429624 58350919 65215733 73300328 100787951 116701838 130431466 201575902 233403676 260862932 403151804 466807352 521725864 806303608 1108667461 2217334922 4434669844 8869339688