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61242675165 = 3257296704179
BaseRepresentation
bin111001000010010110…
…010000111111011101
312212002002220020121100
4321002112100333131
52000411111101130
644045015023313
74265436102240
oct710226207735
9185062806540
1061242675165
1123a77991331
12ba5206ab39
135a10043a39
142d6d931257
1518d68bcc60
hexe42590fdd

61242675165 has 48 divisors (see below), whose sum is σ = 125502249600. Its totient is φ = 27031245696.

The previous prime is 61242675163. The next prime is 61242675181. The reversal of 61242675165 is 56157624216.

61242675165 is a `hidden beast` number, since 6 + 124 + 2 + 6 + 7 + 516 + 5 = 666.

It is not a de Polignac number, because 61242675165 - 21 = 61242675163 is a prime.

It is a super-2 number, since 2×612426751652 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 61242675165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61242675163) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3342955 + ... + 3361224.

It is an arithmetic number, because the mean of its divisors is an integer number (2614630200).

Almost surely, 261242675165 is an apocalyptic number.

It is an amenable number.

61242675165 is an abundant number, since it is smaller than the sum of its proper divisors (64259574435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61242675165 is a wasteful number, since it uses less digits than its factorization.

61242675165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704226 (or 6704223 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 61242675165 in words is "sixty-one billion, two hundred forty-two million, six hundred seventy-five thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 6704179 20112537 33520895 46929253 60337611 100562685 140787759 194421191 234646265 301688055 422363277 583263573 703938795 972105955 1360948337 1749790719 2111816385 2916317865 4082845011 6804741685 8748953595 12248535033 20414225055 61242675165