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11629145904 = 243242273873
BaseRepresentation
bin10101101010010011…
…01010111100110000
31010000110021211011120
422311021222330300
5142304030132104
65201540542240
7561116052315
oct126511527460
933013254146
1011629145904
114a28393492
1223066b1980
13113438952c
147c4682d0c
15480e17cd9
hex2b526af30

11629145904 has 20 divisors (see below), whose sum is σ = 30041960376. Its totient is φ = 3876381952.

The previous prime is 11629145873. The next prime is 11629145977. The reversal of 11629145904 is 40954192611.

It is a happy number.

11629145904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 121136889 + ... + 121136984.

Almost surely, 211629145904 is an apocalyptic number.

It is an amenable number.

11629145904 is an abundant number, since it is smaller than the sum of its proper divisors (18412814472).

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

11629145904 is a wasteful number, since it uses less digits than its factorization.

11629145904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242273884 (or 242273878 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11629145904 in words is "eleven billion, six hundred twenty-nine million, one hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 242273873 484547746 726821619 969095492 1453643238 1938190984 2907286476 3876381968 5814572952 11629145904