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10880005266 = 2331321173453
BaseRepresentation
bin10100010000111111…
…11011010010010010
31001002020122112102000
422020133323102102
5134240240132031
64555340134430
7533421342654
oct121037732222
931066575360
1010880005266
11468352aa99
122137837416
131045102c50
14752d966d4
1543a28a3e6
hex2887fb492

10880005266 has 64 divisors (see below), whose sum is σ = 26161376640. Its totient is φ = 3331782720.

The previous prime is 10880005237. The next prime is 10880005309. The reversal of 10880005266 is 66250008801.

It is a happy number.

10880005266 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10880005266.

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 31 ways as a sum of consecutive naturals, for example, 111396 + ... + 184848.

It is an arithmetic number, because the mean of its divisors is an integer number (408771510).

Almost surely, 210880005266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10880005266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080688320).

10880005266 is an abundant number, since it is smaller than the sum of its proper divisors (15281371374).

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

10880005266 is a wasteful number, since it uses less digits than its factorization.

10880005266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73688 (or 73682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10880005266 in words is "ten billion, eight hundred eighty million, five thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2743 3798 5486 5697 8229 11394 16458 24687 49374 73453 74061 146906 148122 220359 440718 661077 954889 1322154 1909778 1983231 2864667 3966462 5729334 8594001 15498583 17188002 25782003 30997166 46495749 51564006 92991498 139487247 201481579 278974494 402963158 418461741 604444737 836923482 1208889474 1813334211 3626668422 5440002633 10880005266