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10509372426 = 23717103142903
BaseRepresentation
bin10011100100110100…
…00100110000001010
31000010102020102201210
421302122010300022
5133010344404201
64454500153550
7521301122520
oct116232046012
930112212653
1010509372426
1145032a3063
1220536988b6
13cb63a4587
14719a78310
154179781d6
hex272684c0a

10509372426 has 64 divisors (see below), whose sum is σ = 25681563648. Its totient is φ = 2798592768.

The previous prime is 10509372421. The next prime is 10509372479. The reversal of 10509372426 is 62427390501.

It is a super-2 number, since 2×105093724262 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10509372421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2091 + ... + 144993.

It is an arithmetic number, because the mean of its divisors is an integer number (401274432).

Almost surely, 210509372426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10509372426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840781824).

10509372426 is an abundant number, since it is smaller than the sum of its proper divisors (15172191222).

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

10509372426 is a wasteful number, since it uses less digits than its factorization.

10509372426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143035.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10509372426 in words is "ten billion, five hundred nine million, three hundred seventy-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 103 119 206 238 309 357 618 714 721 1442 1751 2163 3502 4326 5253 10506 12257 24514 36771 73542 142903 285806 428709 857418 1000321 2000642 2429351 3000963 4858702 6001926 7288053 14576106 14719009 17005457 29438018 34010914 44157027 51016371 88314054 102032742 103033063 206066126 250223153 309099189 500446306 618198378 750669459 1501338918 1751562071 3503124142 5254686213 10509372426