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9766116680 = 235823729641
BaseRepresentation
bin10010001100001101…
…10001110101001000
3221012121200010112012
421012012301311020
5130000111213210
64253025435052
7464004423245
oct110606616510
927177603465
109766116680
11416179a011
121a8679ba88
13bc83cb788
146890805cc
153c25ae305
hex2461b1d48

9766116680 has 32 divisors (see below), whose sum is σ = 21977171640. Its totient is φ = 3905840640.

The previous prime is 9766116677. The next prime is 9766116683. The reversal of 9766116680 is 866116679.

It is an interprime number because it is at equal distance from previous prime (9766116677) and next prime (9766116683).

It can be written as a sum of positive squares in 4 ways, for example, as 9626356996 + 139759684 = 98114^2 + 11822^2 .

It is not an unprimeable number, because it can be changed into a prime (9766116683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314660 + ... + 344300.

Almost surely, 29766116680 is an apocalyptic number.

It is an amenable number.

9766116680 is an abundant number, since it is smaller than the sum of its proper divisors (12211054960).

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

9766116680 is a wasteful number, since it uses less digits than its factorization.

9766116680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37889 (or 37885 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 9766116680 is about 98823.6645748375. The cubic root of 9766116680 is about 2137.5058052121.

The spelling of 9766116680 in words is "nine billion, seven hundred sixty-six million, one hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 8237 16474 29641 32948 41185 59282 65896 82370 118564 148205 164740 237128 296410 329480 592820 1185640 244152917 488305834 976611668 1220764585 1953223336 2441529170 4883058340 9766116680