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68496834961 = 157216672
BaseRepresentation
bin111111110010101110…
…101100000110010001
320112210122212202002101
4333302232230012101
52110240142204321
651244512520401
74643262330202
oct776256540621
9215718782071
1068496834961
112705a74aa15
1211337550101
1365c7bb7899
14345b12b5a9
151bad68d791
hexff2bac191

68496834961 has 9 divisors (see below), whose sum is σ = 68977277499. Its totient is φ = 68019721224.

The previous prime is 68496834937. The next prime is 68496834997. The reversal of 68496834961 is 16943869486.

It is a happy number.

The square root of 68496834961 is 261719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20077473025 + 48419361936 = 141695^2 + 220044^2 .

It is not a de Polignac number, because 68496834961 - 25 = 68496834929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68496834893 and 68496834902.

It is not an unprimeable number, because it can be changed into a prime (68496835961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41089050 + ... + 41090716.

Almost surely, 268496834961 is an apocalyptic number.

68496834961 is the 261719-th square number.

68496834961 is the 130860-th centered octagonal number.

It is an amenable number.

68496834961 is a deficient number, since it is larger than the sum of its proper divisors (480442538).

68496834961 is an frugal number, since it uses more digits than its factorization.

68496834961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 1824 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 64.

Multiplying 68496834961 by its sum of digits (64), we get a square (4383797437504 = 20937522).

The spelling of 68496834961 in words is "sixty-eight billion, four hundred ninety-six million, eight hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 157 1667 24649 261719 2778889 41089883 436285573 68496834961