Search a number
-
+
10612914361 = 72147172
BaseRepresentation
bin10011110001001010…
…00011100010111001
31000101122001220120021
421320211003202321
5133213401224421
64513035330441
7523666166200
oct117045034271
930348056507
1010612914361
114556793705
1220822b0a21
1310019882aa
1472970c237
15421acc341
hex2789438b9

10612914361 has 9 divisors (see below), whose sum is σ = 12346473999. Its totient is φ = 9096165624.

The previous prime is 10612914359. The next prime is 10612914391. The reversal of 10612914361 is 16341921601.

The square root of 10612914361 is 103019.

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., 2946861225 + 7666053136 = 54285^2 + 87556^2 .

It is not a de Polignac number, because 10612914361 - 21 = 10612914359 is a prime.

It is a super-2 number, since 2×106129143612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10612914331) 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, 713775 + ... + 728491.

Almost surely, 210612914361 is an apocalyptic number.

10612914361 is the 103019-th square number.

10612914361 is the 51510-th centered octagonal number.

It is an amenable number.

10612914361 is a deficient number, since it is larger than the sum of its proper divisors (1733559638).

10612914361 is an frugal number, since it uses more digits than its factorization.

10612914361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29448 (or 14724 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10612914361 in words is "ten billion, six hundred twelve million, nine hundred fourteen thousand, three hundred sixty-one".

Divisors: 1 7 49 14717 103019 721133 216590089 1516130623 10612914361