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11531641266 = 23210110958193
BaseRepresentation
bin10101011110101011…
…01110000110110010
31002202122211001221200
422233111232012302
5142104100010031
65144135032030
7555523222245
oct125725560662
932678731850
1011531641266
114988346842
122299b0b616
13111a10a792
147b574125c
154775a78e6
hex2af56e1b2

11531641266 has 48 divisors (see below), whose sum is σ = 25464530520. Its totient is φ = 3770841600.

The previous prime is 11531641259. The next prime is 11531641279. The reversal of 11531641266 is 66214613511.

11531641266 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 641 + 2 + 6 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11531538225 + 103041 = 107385^2 + 321^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11531641266.

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 23 ways as a sum of consecutive naturals, for example, 169066 + ... + 227258.

Almost surely, 211531641266 is an apocalyptic number.

11531641266 is an abundant number, since it is smaller than the sum of its proper divisors (13932889254).

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

11531641266 is a wasteful number, since it uses less digits than its factorization.

11531641266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58411 (or 58408 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11531641266 in words is "eleven billion, five hundred thirty-one million, six hundred forty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 101 109 202 218 303 327 606 654 909 981 1818 1962 11009 22018 33027 58193 66054 99081 116386 174579 198162 349158 523737 1047474 5877493 6343037 11754986 12686074 17632479 19029111 35264958 38058222 52897437 57087333 105794874 114174666 640646737 1281293474 1921940211 3843880422 5765820633 11531641266