Search a number
-
+
23186765601325 = 522941780042577
BaseRepresentation
bin1010100010110100101101…
…11011010101101000101101
310001002122002120011100121101
411101122112323111220231
511014342443443220300
6121151504132403101
74612121444502214
oct521322673255055
9101078076140541
1023186765601325
11742a4a7782347
122725900a76491
13cc266c321971
145a23616d207b
152a321ac4ab6a
hex151696ed5a2d

23186765601325 has 24 divisors (see below), whose sum is σ = 30468463096680. Its totient is φ = 17472953702400.

The previous prime is 23186765601269. The next prime is 23186765601427. The reversal of 23186765601325 is 52310656768132.

It can be written as a sum of positive squares in 12 ways, for example, as 6459827141161 + 16726938460164 = 2541619^2 + 4089858^2 .

It is a de Polignac number, because none of the positive numbers 2k-23186765601325 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389991564 + ... + 390051013.

It is an arithmetic number, because the mean of its divisors is an integer number (1269519295695).

Almost surely, 223186765601325 is an apocalyptic number.

23186765601325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23186765601325 is a deficient number, since it is larger than the sum of its proper divisors (7281697495355).

23186765601325 is a wasteful number, since it uses less digits than its factorization.

23186765601325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780042657 (or 780042652 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 23186765601325 in words is "twenty-three trillion, one hundred eighty-six billion, seven hundred sixty-five million, six hundred one thousand, three hundred twenty-five".

Divisors: 1 5 25 29 41 145 205 725 1025 1189 5945 29725 780042577 3900212885 19501064425 22621234733 31981745657 113106173665 159908728285 565530868325 799543641425 927470624053 4637353120265 23186765601325