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91816272145 = 51317541153589
BaseRepresentation
bin101010110000010101…
…1010010000100010001
322202222211111220010001
41111200223102010101
53001014431202040
6110102501210001
76430202302423
oct1254053220421
9282884456101
1091816272145
1135a3698a254
1215965100901
1388731bba20
14463020c813
1525c5a4b59a
hex1560ad2111

91816272145 has 32 divisors (see below), whose sum is σ = 125867619360. Its totient is φ = 63696015360.

The previous prime is 91816272139. The next prime is 91816272151. The reversal of 91816272145 is 54127261819.

It is a Cunningham number, because it is equal to 3030122+1.

It is an interprime number because it is at equal distance from previous prime (91816272139) and next prime (91816272151).

It can be written as a sum of positive squares in 16 ways, for example, as 55338328081 + 36477944064 = 235241^2 + 190992^2 .

It is not a de Polignac number, because 91816272145 - 233 = 83226337553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 91816272095 and 91816272104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521011 + ... + 674599.

It is an arithmetic number, because the mean of its divisors is an integer number (3933363105).

Almost surely, 291816272145 is an apocalyptic number.

It is an amenable number.

91816272145 is a deficient number, since it is larger than the sum of its proper divisors (34051347215).

91816272145 is a wasteful number, since it uses less digits than its factorization.

91816272145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154165.

The product of its digits is 241920, while the sum is 46.

The spelling of 91816272145 in words is "ninety-one billion, eight hundred sixteen million, two hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 5 13 17 65 85 221 541 1105 2705 7033 9197 35165 45985 119561 153589 597805 767945 1996657 2611013 9983285 13055065 33943169 83091649 169715845 415458245 1080191437 1412558033 5400957185 7062790165 18363254429 91816272145