Search a number
-
+
61425010660131 = 32236117532775001
BaseRepresentation
bin11011111011101100111111…
…11100001101001100100011
322001111011200121100111012200
431331312133330031030203
531022341410212111011
6334350132122224243
715636545011616106
oct1575663774151443
9261434617314180
1061425010660131
1118632223197548
126a806b3955083
132837479c81a31
141124db48a273d
15717c137dd856
hex37dd9ff0d323

61425010660131 has 48 divisors (see below), whose sum is σ = 94154086258752. Its totient is φ = 38505456000000.

The previous prime is 61425010660127. The next prime is 61425010660199. The reversal of 61425010660131 is 13106601052416.

61425010660131 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 5 + 0 + 10 + 6 + 601 + 31 = 666.

It is not a de Polignac number, because 61425010660131 - 22 = 61425010660127 is a prime.

It is a super-2 number, since 2×614250106601312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61425010660121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20747631 + ... + 23522631.

It is an arithmetic number, because the mean of its divisors is an integer number (1961543463724).

Almost surely, 261425010660131 is an apocalyptic number.

61425010660131 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

61425010660131 is a deficient number, since it is larger than the sum of its proper divisors (32729075598621).

61425010660131 is a wasteful number, since it uses less digits than its factorization.

61425010660131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776844 (or 2776841 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61425010660131 in words is "sixty-one trillion, four hundred twenty-five billion, ten million, six hundred sixty thousand, one hundred thirty-one".

Divisors: 1 3 9 23 61 69 183 207 549 1403 1753 4209 5259 12627 15777 40319 106933 120957 320799 362871 962397 2459459 2775001 7378377 8325003 22135131 24975009 63825023 169275061 191475069 507825183 574425207 1523475549 3893326403 4864576753 11679979209 14593730259 35039937627 43781190777 111885265319 296739181933 335655795957 890217545799 1006967387871 2670652637397 6825001184459 20475003553377 61425010660131