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11107442598 = 2372192968567
BaseRepresentation
bin10100101100000111…
…00001111110100110
31001200002121112202220
422112003201332212
5140222001130343
65034103013210
7542152463400
oct122603417646
931602545686
1011107442598
11478a95302a
12219ba3a206
131080275955
1477527bb70
15450214183
hex2960e1fa6

11107442598 has 96 divisors (see below), whose sum is σ = 28140307200. Its totient is φ = 2902810176.

The previous prime is 11107442561. The next prime is 11107442623. The reversal of 11107442598 is 89524470111.

11107442598 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 127711 + ... + 196277.

It is an arithmetic number, because the mean of its divisors is an integer number (293128200).

Almost surely, 211107442598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11107442598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14070153600).

11107442598 is an abundant number, since it is smaller than the sum of its proper divisors (17032864602).

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

11107442598 is a wasteful number, since it uses less digits than its factorization.

11107442598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68634 (or 68627 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 11107442598 in words is "eleven billion, one hundred seven million, four hundred forty-two thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 49 57 58 87 98 114 133 147 174 203 266 294 399 406 551 609 798 931 1102 1218 1421 1653 1862 2793 2842 3306 3857 4263 5586 7714 8526 11571 23142 26999 53998 68567 80997 137134 161994 205701 411402 479969 959938 1302773 1439907 1988443 2605546 2879814 3359783 3908319 3976886 5965329 6719566 7816638 9119411 10079349 11930658 13919101 18238822 20158698 27358233 27838202 37780417 41757303 54716466 63835877 75560834 83514606 97433707 113341251 127671754 191507631 194867414 226682502 264462919 292301121 383015262 528925838 584602242 793388757 1586777514 1851240433 3702480866 5553721299 11107442598