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61473376306431 = 332718401445443
BaseRepresentation
bin11011111101000111000101…
…10000100000010011111111
322001122210112021211220001000
431332203202300200103333
531024134433313301211
6334424251302021343
715643206400051215
oct1576434260402377
9261583467756030
1061473376306431
1118650792354461
126a89b51417853
13283bbb724b15b
141127482118cb5
157190e494a656
hex37e8e2c204ff

61473376306431 has 16 divisors (see below), whose sum is σ = 91407726430720. Its totient is φ = 40831024848120.

The previous prime is 61473376306393. The next prime is 61473376306487. The reversal of 61473376306431 is 13460367337416.

61473376306431 is a `hidden beast` number, since 6 + 147 + 3 + 3 + 7 + 63 + 0 + 6 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-61473376306431 is a prime.

It is a super-2 number, since 2×614733763064312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61473376306631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4200715405 + ... + 4200730038.

It is an arithmetic number, because the mean of its divisors is an integer number (5712982901920).

Almost surely, 261473376306431 is an apocalyptic number.

61473376306431 is a deficient number, since it is larger than the sum of its proper divisors (29934350124289).

61473376306431 is a wasteful number, since it uses less digits than its factorization.

61473376306431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8401445723 (or 8401445717 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 61473376306431 in words is "sixty-one trillion, four hundred seventy-three billion, three hundred seventy-six million, three hundred six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 271 813 2439 7317 8401445443 25204336329 75613008987 226839026961 2276791715053 6830375145159 20491125435477 61473376306431