Search a number
-
+
12044196725625 = 3254462732
BaseRepresentation
bin1010111101000100001000…
…0100010100001101111001
31120122102011210000101120100
42233101002010110031321
53034313003330210000
641341005543150013
72352110264666001
oct257210204241571
946572153011510
1012044196725625
113923a08072a29
1214262b5145309
136949bc07263c
142d8d296ad001
1515d46d08ba00
hexaf442114379

12044196725625 has 45 divisors (see below), whose sum is σ = 21739977260859. Its totient is φ = 6423432768000.

The previous prime is 12044196725591. The next prime is 12044196725677. The reversal of 12044196725625 is 52652769144021.

The square root of 12044196725625 is 3470475.

It is a perfect power (a square), and thus also a powerful number.

12044196725625 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 4 + 1 + 9 + 6 + 7 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10617242244921 + 1426954480704 = 3258411^2 + 1194552^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-12044196725625 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 260262489 + ... + 260308761.

Almost surely, 212044196725625 is an apocalyptic number.

12044196725625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12044196725625 is the 3470475-th square number.

12044196725625 is the 1735238-th centered octagonal number.

It is an amenable number.

12044196725625 is a deficient number, since it is larger than the sum of its proper divisors (9695780535234).

12044196725625 is an frugal number, since it uses more digits than its factorization.

12044196725625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92572 (or 46281 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12044196725625 in words is "twelve trillion, forty-four billion, one hundred ninety-six million, seven hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 46273 138819 231365 416457 694095 1156825 2082285 3470475 5784125 10411425 17352375 28920625 52057125 86761875 260285625 2141190529 6423571587 10705952645 19270714761 32117857935 53529763225 96353573805 160589289675 267648816125 481767869025 802946448375 1338244080625 2408839345125 4014732241875 12044196725625