Search a number
-
+
61664513663225 = 5211461474859137
BaseRepresentation
bin11100000010101011000110…
…11011101010000011111001
322002100001212222111122121202
432001111203123222003321
531040302410444210400
6335052141514543545
715663054063555254
oct1601254333520371
9262301788448552
1061664513663225
1118714856410640
126ababb4a37bb5
132853c283b0245
14113281513c09b
1571e07ecc64d5
hex3815636ea0f9

61664513663225 has 24 divisors (see below), whose sum is σ = 83417094157728. Its totient is φ = 44845937971200.

The previous prime is 61664513663183. The next prime is 61664513663239. The reversal of 61664513663225 is 52236631546616.

61664513663225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-61664513663225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10260857 + ... + 15119993.

It is an arithmetic number, because the mean of its divisors is an integer number (3475712256572).

Almost surely, 261664513663225 is an apocalyptic number.

It is an amenable number.

61664513663225 is a deficient number, since it is larger than the sum of its proper divisors (21752580494503).

61664513663225 is a wasteful number, since it uses less digits than its factorization.

61664513663225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905305 (or 4905300 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 56.

The spelling of 61664513663225 in words is "sixty-one trillion, six hundred sixty-four billion, five hundred thirteen million, six hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 275 46147 230735 507617 1153675 2538085 4859137 12690425 24295685 53450507 121478425 267252535 1336262675 224234595139 1121172975695 2466580546529 5605864878475 12332902732645 61664513663225