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1126091746806 = 2313219293199487
BaseRepresentation
bin10000011000110000010…
…011000110110111110110
310222122122021021211121120
4100120300103012313312
5121422213441344211
62221152554124410
7144233413626135
oct20306023066766
93878567254546
101126091746806
113a4633485604
121622b1a20706
1382261562a00
143c70884191c
151e45b428d06
hex106304c6df6

1126091746806 has 96 divisors (see below), whose sum is σ = 2575884810240. Its totient is φ = 327131505792.

The previous prime is 1126091746777. The next prime is 1126091746817. The reversal of 1126091746806 is 6086471906211.

It is a super-2 number, since 2×11260917468062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5545195 + ... + 5744681.

It is an arithmetic number, because the mean of its divisors is an integer number (26832133440).

Almost surely, 21126091746806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126091746806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287942405120).

1126091746806 is an abundant number, since it is smaller than the sum of its proper divisors (1449793063434).

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

1126091746806 is a wasteful number, since it uses less digits than its factorization.

1126091746806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199830 (or 199817 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 1126091746806 in words is "one trillion, one hundred twenty-six billion, ninety-one million, seven hundred forty-six thousand, eight hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 293 338 494 507 586 741 879 1014 1482 1758 3211 3809 5567 6422 7618 9633 11134 11427 16701 19266 22854 33402 49517 72371 99034 144742 148551 199487 217113 297102 398974 434226 598461 940823 1196922 1881646 2593331 2822469 3790253 5186662 5644938 7580506 7779993 11370759 15559986 22741518 33713303 49273289 58449691 67426606 98546578 101139909 116899382 147819867 175349073 202279818 295639734 350698146 640552757 759845983 1110544129 1281105514 1519691966 1921658271 2221088258 2279537949 3331632387 3843316542 4559075898 6663264774 9877997779 14437073677 19755995558 28874147354 29633993337 43311221031 59267986674 86622442062 187681957801 375363915602 563045873403 1126091746806