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11830852267 = 132294751361
BaseRepresentation
bin10110000010010110…
…00111101010101011
31010112111211120021121
423001023013222223
5143212144233032
65233544120111
7566115404443
oct130113075253
933474746247
1011830852267
115021231463
122362166037
1311670c0400
1480338b123
154939aca97
hex2c12c7aab

11830852267 has 24 divisors (see below), whose sum is σ = 13534914240. Its totient is φ = 10319662080.

The previous prime is 11830852249. The next prime is 11830852277. The reversal of 11830852267 is 76225803811.

11830852267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11830852267 - 215 = 11830819499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11830852247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 204667 + ... + 256027.

It is an arithmetic number, because the mean of its divisors is an integer number (563954760).

Almost surely, 211830852267 is an apocalyptic number.

11830852267 is a deficient number, since it is larger than the sum of its proper divisors (1704061973).

11830852267 is a wasteful number, since it uses less digits than its factorization.

11830852267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51463 (or 51450 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 11830852267 in words is "eleven billion, eight hundred thirty million, eight hundred fifty-two thousand, two hundred sixty-seven".

Divisors: 1 13 29 47 169 377 611 1363 4901 7943 17719 51361 230347 667693 1489469 2413967 8680009 19363097 31381571 70005043 251720261 407960423 910065559 11830852267