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10091836961 is a prime number
BaseRepresentation
bin10010110011000010…
…10011011000100001
3222001022120102202022
421121201103120201
5131132002240321
64345223031225
7505041125123
oct113141233041
928038512668
1010091836961
114309640528
121b5789b515
13c4aa3357b
146ba42b213
153e0e9ddab
hex259853621

10091836961 has 2 divisors, whose sum is σ = 10091836962. Its totient is φ = 10091836960.

The previous prime is 10091836919. The next prime is 10091837017. The reversal of 10091836961 is 16963819001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10091407936 + 429025 = 100456^2 + 655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10091836961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10091836861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045918480 + 5045918481.

It is an arithmetic number, because the mean of its divisors is an integer number (5045918481).

Almost surely, 210091836961 is an apocalyptic number.

It is an amenable number.

10091836961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091836961 is an equidigital number, since it uses as much as digits as its factorization.

10091836961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 44.

The spelling of 10091836961 in words is "ten billion, ninety-one million, eight hundred thirty-six thousand, nine hundred sixty-one".