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72442317106 = 2197997184417
BaseRepresentation
bin100001101110111100…
…1100000100100110010
320220222122000000002201
41003131321200210302
52141330213121411
653140214133414
75143121351455
oct1033571404462
9226878000081
1072442317106
11287a4888065
121205895126a
136aa642b6c3
14371312d49c
151d3ec453c1
hex10dde60932

72442317106 has 16 divisors (see below), whose sum is σ = 109325203416. Its totient is φ = 36000953856.

The previous prime is 72442317061. The next prime is 72442317119. The reversal of 72442317106 is 60171324427.

It can be written as a sum of positive squares in 4 ways, for example, as 70243551225 + 2198765881 = 265035^2 + 46891^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300610 + ... + 485026.

Almost surely, 272442317106 is an apocalyptic number.

72442317106 is a deficient number, since it is larger than the sum of its proper divisors (36882886310).

72442317106 is a wasteful number, since it uses less digits than its factorization.

72442317106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185613.

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 72442317106 in words is "seventy-two billion, four hundred forty-two million, three hundred seventeen thousand, one hundred six".

Divisors: 1 2 197 394 997 1994 184417 196409 368834 392818 36330149 72660298 183863749 367727498 36221158553 72442317106