Search a number
-
+
974100131757 = 32532042138641
BaseRepresentation
bin11100010110011001110…
…01000110111110101101
310110010022201020210111200
432023030321012332231
5111424424113204012
62023255002240113
7130243052335044
oct16131471067655
93403281223450
10974100131757
11346128147605
121389541b6039
1370b1b4b390c
143520a77955b
151a512a913dc
hexe2cce46fad

974100131757 has 12 divisors (see below), whose sum is σ = 1433581326684. Its totient is φ = 637147255680.

The previous prime is 974100131749. The next prime is 974100131783. The reversal of 974100131757 is 757131001479.

It can be written as a sum of positive squares in 2 ways, for example, as 585853998921 + 388246132836 = 765411^2 + 623094^2 .

It is not a de Polignac number, because 974100131757 - 23 = 974100131749 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974100131717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021068844 + ... + 1021069797.

It is an arithmetic number, because the mean of its divisors is an integer number (119465110557).

Almost surely, 2974100131757 is an apocalyptic number.

It is an amenable number.

974100131757 is a deficient number, since it is larger than the sum of its proper divisors (459481194927).

974100131757 is a wasteful number, since it uses less digits than its factorization.

974100131757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042138700 (or 2042138697 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 974100131757 in words is "nine hundred seventy-four billion, one hundred million, one hundred thirty-one thousand, seven hundred fifty-seven".

Divisors: 1 3 9 53 159 477 2042138641 6126415923 18379247769 108233347973 324700043919 974100131757