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9992944961 = 29734720333
BaseRepresentation
bin10010100111010000…
…00011110101000001
3221210102111012102122
421103220003311001
5130431143214321
64331331254025
7502430426216
oct112350036501
927712435378
109992944961
1142688364aa
121b2a74a315
13c333ba1ac
146ab247b0d
153d74678ab
hex253a03d41

9992944961 has 8 divisors (see below), whose sum is σ = 10479141480. Its totient is φ = 9516189312.

The previous prime is 9992944931. The next prime is 9992945003. The reversal of 9992944961 is 1694492999.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 404814400 + 9588130561 = 20120^2 + 97919^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9992944961 - 214 = 9992928577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9992944894 and 9992944903.

It is not an unprimeable number, because it can be changed into a prime (9992944931) 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, 2358050 + ... + 2362283.

It is an arithmetic number, because the mean of its divisors is an integer number (1309892685).

Almost surely, 29992944961 is an apocalyptic number.

It is an amenable number.

9992944961 is a deficient number, since it is larger than the sum of its proper divisors (486196519).

9992944961 is a wasteful number, since it uses less digits than its factorization.

9992944961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720435.

The product of its digits is 11337408, while the sum is 62.

The square root of 9992944961 is about 99964.7185811074. The cubic root of 9992944961 is about 2153.9279168110.

The spelling of 9992944961 in words is "nine billion, nine hundred ninety-two million, nine hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 29 73 2117 4720333 136889657 344584309 9992944961