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960126500061 = 3413218973061
BaseRepresentation
bin11011111100010111111…
…11111011110011011101
310101210020212101202110000
431332023333323303131
5111212314341000221
62013024231004513
7126236554411041
oct15761377736335
93353225352400
10960126500061
11340207419263
121360b4509739
136c7024a79b1
14346829a8021
1519e95e1ae26
hexdf8bffbcdd

960126500061 has 20 divisors (see below), whose sum is σ = 1435348943644. Its totient is φ = 639599716800.

The previous prime is 960126500059. The next prime is 960126500087. The reversal of 960126500061 is 160005621069.

960126500061 is a `hidden beast` number, since 96 + 0 + 1 + 2 + 6 + 500 + 0 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 932732939961 + 27393560100 = 965781^2 + 165510^2 .

It is not a de Polignac number, because 960126500061 - 21 = 960126500059 is a prime.

It is a super-2 number, since 2×9601265000612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 960126499989 and 960126500025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960122500061) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4379530 + ... + 4593531.

Almost surely, 2960126500061 is an apocalyptic number.

It is an amenable number.

960126500061 is a deficient number, since it is larger than the sum of its proper divisors (475222443583).

960126500061 is a wasteful number, since it uses less digits than its factorization.

960126500061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974394 (or 8974385 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 960126500061 in words is "nine hundred sixty billion, one hundred twenty-six million, five hundred thousand, sixty-one".

Divisors: 1 3 9 27 81 1321 3963 11889 35667 107001 8973061 26919183 80757549 242272647 726817941 11853413581 35560240743 106680722229 320042166687 960126500061