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9680539632 = 2433159910861
BaseRepresentation
bin10010000010000000…
…10100111111110000
3220222122122100212220
421001000110333300
5124311204232012
64240331321040
7461615141421
oct110100247760
926878570786
109680539632
114118459785
121a61bb0180
13bb3767a7a
1467b965648
153b9d0808c
hex241014ff0

9680539632 has 80 divisors (see below), whose sum is σ = 25860249600. Its totient is φ = 3117254400.

The previous prime is 9680539613. The next prime is 9680539651. The reversal of 9680539632 is 2369350869.

It is an interprime number because it is at equal distance from previous prime (9680539613) and next prime (9680539651).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885882 + ... + 896742.

It is an arithmetic number, because the mean of its divisors is an integer number (323253120).

Almost surely, 29680539632 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 9680539632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930124800).

9680539632 is an abundant number, since it is smaller than the sum of its proper divisors (16179709968).

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

9680539632 is a wasteful number, since it uses less digits than its factorization.

9680539632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 9680539632 is about 98389.7333668508. The cubic root of 9680539632 is about 2131.2440756256.

The spelling of 9680539632 in words is "nine billion, six hundred eighty million, five hundred thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 599 744 1198 1488 1797 2396 3594 4792 7188 9584 10861 14376 18569 21722 28752 32583 37138 43444 55707 65166 74276 86888 111414 130332 148552 173776 222828 260664 297104 336691 445656 521328 673382 891312 1010073 1346764 2020146 2693528 4040292 5387056 6505739 8080584 13011478 16161168 19517217 26022956 39034434 52045912 78068868 104091824 156137736 201677909 312275472 403355818 605033727 806711636 1210067454 1613423272 2420134908 3226846544 4840269816 9680539632