Search a number
-
+
123641274465 = 32517161622581
BaseRepresentation
bin111001100100110011…
…0000010000001100001
3102211010202212112000200
41303021212002001201
54011204131240330
6132444445335413
711634642330642
oct1631146020141
9384122775020
10123641274465
1148488304565
121bb67267569
13b8756b9147
145dacb9b6c9
1533399bba60
hex1cc9982061

123641274465 has 24 divisors (see below), whose sum is σ = 226918105128. Its totient is φ = 62063070720.

The previous prime is 123641274461. The next prime is 123641274473. The reversal of 123641274465 is 564472146321.

123641274465 is a `hidden beast` number, since 1 + 2 + 3 + 64 + 127 + 4 + 465 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16529730624 + 107111543841 = 128568^2 + 327279^2 .

It is not a de Polignac number, because 123641274465 - 22 = 123641274461 is a prime.

It is a super-2 number, since 2×1236412744652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 123641274465.

It is not an unprimeable number, because it can be changed into a prime (123641274461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80810526 + ... + 80812055.

It is an arithmetic number, because the mean of its divisors is an integer number (9454921047).

Almost surely, 2123641274465 is an apocalyptic number.

123641274465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123641274465 is a deficient number, since it is larger than the sum of its proper divisors (103276830663).

123641274465 is a wasteful number, since it uses less digits than its factorization.

123641274465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161622609 (or 161622606 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 123641274465 in words is "one hundred twenty-three billion, six hundred forty-one million, two hundred seventy-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 161622581 484867743 808112905 1454603229 2424338715 2747583877 7273016145 8242751631 13737919385 24728254893 41213758155 123641274465