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8318899264 = 261328772
BaseRepresentation
bin1111011111101100…
…00101010001000000
3210110202110212110011
413233312011101000
5114014114234024
63453250514304
7413102322424
oct75766052100
923422425404
108318899264
113589890165
121741b95994
13a2762a300
1458cb9ab84
1533a4de094
hex1efd85440

8318899264 has 63 divisors (see below), whose sum is σ = 17895732687. Its totient is φ = 3835113984.

The previous prime is 8318899243. The next prime is 8318899283. The reversal of 8318899264 is 4629988138.

The square root of 8318899264 is 91208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1459264 + 8317440000 = 1208^2 + 91200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8318899199 and 8318899208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9485194 + ... + 9486070.

It is an arithmetic number, because the mean of its divisors is an integer number (284059249).

Almost surely, 28318899264 is an apocalyptic number.

8318899264 is the 91208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8318899264

8318899264 is an abundant number, since it is smaller than the sum of its proper divisors (9576833423).

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

8318899264 is an frugal number, since it uses more digits than its factorization.

8318899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 892 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 58.

The cubic root of 8318899264 is about 2026.2294430398.

The spelling of 8318899264 in words is "eight billion, three hundred eighteen million, eight hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 877 1352 1754 2704 3508 5408 7016 10816 11401 14032 22802 28064 45604 56128 91208 148213 182416 296426 364832 592852 729664 769129 1185704 1538258 2371408 3076516 4742816 6153032 9485632 9998677 12306064 19997354 24612128 39994708 49224256 79989416 129982801 159978832 259965602 319957664 519931204 639915328 1039862408 2079724816 4159449632 8318899264