Search a number
-
+
14561726985 = 325133147289
BaseRepresentation
bin11011000111111001…
…00101001000001001
31101120211110101010200
431203330211020021
5214310300230420
610404540202413
71023565431351
oct154374451011
941524411120
1014561726985
1161a2796013
1229a4839409
1314b0ac7000
149c1d39b61
155a35e0b90
hex363f25209

14561726985 has 48 divisors (see below), whose sum is σ = 27342915600. Its totient is φ = 7168801536.

The previous prime is 14561726983. The next prime is 14561726987. The reversal of 14561726985 is 58962716541.

It is a happy number.

14561726985 is a `hidden beast` number, since 1 + 4 + 561 + 72 + 6 + 9 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14561726983) and next prime (14561726987).

It can be written as a sum of positive squares in 8 ways, for example, as 10452404169 + 4109322816 = 102237^2 + 64104^2 .

It is not a de Polignac number, because 14561726985 - 21 = 14561726983 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14561726981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25221 + ... + 172509.

It is an arithmetic number, because the mean of its divisors is an integer number (569644075).

Almost surely, 214561726985 is an apocalyptic number.

14561726985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14561726985 is a deficient number, since it is larger than the sum of its proper divisors (12781188615).

14561726985 is a wasteful number, since it uses less digits than its factorization.

14561726985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147339 (or 147310 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 14561726985 in words is "fourteen billion, five hundred sixty-one million, seven hundred twenty-six thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2197 2535 6591 7605 10985 19773 32955 98865 147289 441867 736445 1325601 1914757 2209335 5744271 6628005 9573785 17232813 24891841 28721355 74675523 86164065 124459205 224026569 323593933 373377615 970781799 1120132845 1617969665 2912345397 4853908995 14561726985