Search a number
-
+
1159208269086 = 237229613221797
BaseRepresentation
bin10000110111100110001…
…100100111010100011110
311002211010012212110211210
4100313212030213110132
5122443024304102321
62244311040125250
7146515155465600
oct20674614472436
94084105773753
101159208269086
1140768793598a
121687b4606826
138540b4b931a
144016ab45170
1520248961b76
hex10de632751e

1159208269086 has 96 divisors (see below), whose sum is σ = 2794495105440. Its totient is φ = 319258485504.

The previous prime is 1159208269073. The next prime is 1159208269091. The reversal of 1159208269086 is 6809628029511.

It is a happy number.

It is a super-2 number, since 2×11592082690862 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5115540 + ... + 5337336.

It is an arithmetic number, because the mean of its divisors is an integer number (29109324015).

Almost surely, 21159208269086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1159208269086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397247552720).

1159208269086 is an abundant number, since it is smaller than the sum of its proper divisors (1635286836354).

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

1159208269086 is a wasteful number, since it uses less digits than its factorization.

1159208269086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222458 (or 222451 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 1159208269086 in words is "one trillion, one hundred fifty-nine billion, two hundred eight million, two hundred sixty-nine thousand, eighty-six".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 613 1218 1226 1421 1839 2842 3678 4263 4291 8526 8582 12873 17777 25746 30037 35554 53331 60074 90111 106662 124439 180222 221797 248878 373317 443594 665391 746634 871073 1330782 1552579 1742146 2613219 3105158 4657737 5226438 6432113 9315474 10868053 12864226 19296339 21736106 32604159 38592678 45024791 65208318 90049582 135074373 135961561 270148746 271923122 315173537 407884683 630347074 815769366 945520611 951730927 1891041222 1903461854 2855192781 3942885269 5710385562 6662116489 7885770538 11828655807 13324232978 19986349467 23657311614 27600196883 39972698934 55200393766 82800590649 165601181298 193201378181 386402756362 579604134543 1159208269086