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8930817009 = 321741092
BaseRepresentation
bin10000101000101000…
…10111001111110001
3212001101220111210100
420110110113033301
5121242242121014
64034110223013
7434212456242
oct102424271761
925041814710
108930817009
113873239004
121892ab4a69
13ac433960a
1460a166cc9
153740b3009
hex2145173f1

8930817009 has 45 divisors (see below), whose sum is σ = 13833213303. Its totient is φ = 5552240256.

The previous prime is 8930816987. The next prime is 8930817011. The reversal of 8930817009 is 9007180398.

The square root of 8930817009 is 94503.

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

It can be written as a sum of positive squares in 7 ways, for example, as 567009 + 8930250000 = 753^2 + 94500^2 .

It is not a de Polignac number, because 8930817009 - 227 = 8796599281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8930817089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81934047 + ... + 81934155.

Almost surely, 28930817009 is an apocalyptic number.

8930817009 is the 94503-rd square number.

8930817009 is the 47252-nd centered octagonal number.

It is an amenable number.

8930817009 is a deficient number, since it is larger than the sum of its proper divisors (4902396294).

8930817009 is an frugal number, since it uses more digits than its factorization.

8930817009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The cubic root of 8930817009 is about 2074.7402401110.

The spelling of 8930817009 in words is "eight billion, nine hundred thirty million, eight hundred seventeen thousand, nine".

Divisors: 1 3 9 17 51 109 153 289 327 867 981 1853 2601 4913 5559 11881 14739 16677 31501 35643 44217 83521 94503 106929 201977 250563 283509 535517 605931 751689 1606551 1817793 3433609 4819653 9103789 10300827 27311367 30902481 58371353 81934101 175114059 525342177 992313001 2976939003 8930817009