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92242337369 = 72131011433737
BaseRepresentation
bin101010111101000010…
…0100101111001011001
322211002112020020201112
41111322010211321121
53002403014243434
6110213041230105
76443564634200
oct1257204457131
9284075206645
1092242337369
1136135438376
1215a63932335
138910558320
144670a3a237
1525ed15cdce
hex157a125e59

92242337369 has 24 divisors (see below), whose sum is σ = 116700538248. Its totient is φ = 72260294400.

The previous prime is 92242337351. The next prime is 92242337371. The reversal of 92242337369 is 96373324229.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1287015625 + 90955321744 = 35875^2 + 301588^2 .

It is not a de Polignac number, because 92242337369 - 212 = 92242333273 is a prime.

It is a super-2 number, since 2×922423373692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92242337389) 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 23 ways as a sum of consecutive naturals, for example, 652532 + ... + 781205.

It is an arithmetic number, because the mean of its divisors is an integer number (4862522427).

Almost surely, 292242337369 is an apocalyptic number.

It is an amenable number.

92242337369 is a deficient number, since it is larger than the sum of its proper divisors (24458200879).

92242337369 is a wasteful number, since it uses less digits than its factorization.

92242337369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433865 (or 1433858 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 50.

The spelling of 92242337369 in words is "ninety-two billion, two hundred forty-two million, three hundred thirty-seven thousand, three hundred sixty-nine".

Divisors: 1 7 13 49 91 101 637 707 1313 4949 9191 64337 1433737 10036159 18638581 70253113 130470067 144807437 913290469 1013652059 1882496681 7095564413 13177476767 92242337369