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61417640752431 = 31091181277757269
BaseRepresentation
bin11011111011011111010001…
…01010001111010100101111
322001110110122222120101110020
431331233220222033110233
531022231312013034211
6334342512531413223
715636164251466535
oct1575575052172457
9261413588511406
1061417640752431
111862a091060837
126a7b197754213
1328368741424c2
1411248b5b76155
157179317a7306
hex37dbe8a8f52f

61417640752431 has 32 divisors (see below), whose sum is σ = 82742678884800. Its totient is φ = 40519794723840.

The previous prime is 61417640752367. The next prime is 61417640752483. The reversal of 61417640752431 is 13425704671416.

It is not a de Polignac number, because 61417640752431 - 26 = 61417640752367 is a prime.

It is a super-2 number, since 2×614176407524312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61417640752331) 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 31 ways as a sum of consecutive naturals, for example, 1072412665 + ... + 1072469933.

It is an arithmetic number, because the mean of its divisors is an integer number (2585708715150).

Almost surely, 261417640752431 is an apocalyptic number.

61417640752431 is a deficient number, since it is larger than the sum of its proper divisors (21325038132369).

61417640752431 is a wasteful number, since it uses less digits than its factorization.

61417640752431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61339.

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 61417640752431 in words is "sixty-one trillion, four hundred seventeen billion, six hundred forty million, seven hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 109 327 1181 2777 3543 8331 57269 128729 171807 302693 386187 908079 3279637 6242321 9838911 18726963 67634689 159036013 202904067 357480433 477108039 1072441299 7372181101 17334925417 22116543303 52004776251 187821531353 563464594059 20472546917477 61417640752431