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6968743441 = 11275892
BaseRepresentation
bin1100111110101111…
…01001011000010001
3122222122220211211221
412133113221120101
5103232444242231
63111300205041
7334456225162
oct63727513021
918878824757
106968743441
112a56746100
121425999781
138709b103a
144a1741769
152abbe2d11
hex19f5e9611

6968743441 has 9 divisors (see below), whose sum is σ = 7660867963. Its totient is φ = 6334386520.

The previous prime is 6968743433. The next prime is 6968743477. The reversal of 6968743441 is 1443478696.

The square root of 6968743441 is 83479.

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., 89699841 + 6879043600 = 9471^2 + 82940^2 .

It is not a de Polignac number, because 6968743441 - 23 = 6968743433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6968743421) 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, 914475 + ... + 922063.

Almost surely, 26968743441 is an apocalyptic number.

6968743441 is the 83479-th square number.

6968743441 is the 41740-th centered octagonal number.

It is an amenable number.

6968743441 is a deficient number, since it is larger than the sum of its proper divisors (692124522).

6968743441 is an frugal number, since it uses more digits than its factorization.

6968743441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200 (or 7600 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The cubic root of 6968743441 is about 1910.0797131466.

The spelling of 6968743441 in words is "six billion, nine hundred sixty-eight million, seven hundred forty-three thousand, four hundred forty-one".

Divisors: 1 11 121 7589 83479 918269 57592921 633522131 6968743441