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79761621241 = 1723724492
BaseRepresentation
bin100101001001000101…
…0011100000011111001
321121212201120011211001
41022102022130003321
52301322433334431
6100350400205001
75522365410541
oct1122212340371
9247781504731
1079761621241
11309103a0645
1213560009761
1376a1930bb3
143c09246321
15211c5d2e61
hex129229c0f9

79761621241 has 27 divisors (see below), whose sum is σ = 87275727399. Its totient is φ = 72878174208.

The previous prime is 79761621223. The next prime is 79761621263. The reversal of 79761621241 is 14212616797.

The square root of 79761621241 is 282421.

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

It can be written as a sum of positive squares in 13 ways, for example, as 474324841 + 79287296400 = 21779^2 + 281580^2 .

It is not a de Polignac number, because 79761621241 - 25 = 79761621209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 79761621191 and 79761621200.

It is not an unprimeable number, because it can be changed into a prime (79761621281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177642585 + ... + 177643033.

Almost surely, 279761621241 is an apocalyptic number.

79761621241 is the 282421-st square number.

79761621241 is the 141211-st centered octagonal number.

It is an amenable number.

79761621241 is a deficient number, since it is larger than the sum of its proper divisors (7514106158).

79761621241 is an frugal number, since it uses more digits than its factorization.

79761621241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The spelling of 79761621241 in words is "seventy-nine billion, seven hundred sixty-one million, six hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 17 37 289 449 629 1369 7633 10693 16613 23273 129761 201601 282421 395641 614681 3427217 4801157 7459237 10449577 58262689 126807029 177642809 275991769 2155719493 4691860073 79761621241