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13333466952 = 23321314245157
BaseRepresentation
bin11000110101011110…
…01000111101001000
31021102020021022010100
430122233020331020
5204301331420302
610043022245400
7651262412331
oct143257107510
937366238110
1013333466952
115722438083
122701426860
1313464b9820
14906b71288
15530871d1c
hex31abc8f48

13333466952 has 48 divisors (see below), whose sum is σ = 38889281340. Its totient is φ = 4102604928.

The previous prime is 13333466921. The next prime is 13333466969. The reversal of 13333466952 is 25966433331.

13333466952 is a `hidden beast` number, since 133 + 3 + 3 + 466 + 9 + 52 = 666.

13333466952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10050864516 + 3282602436 = 100254^2 + 57294^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13333466898 and 13333466907.

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 11 ways as a sum of consecutive naturals, for example, 7121643 + ... + 7123514.

Almost surely, 213333466952 is an apocalyptic number.

13333466952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13333466952 is an abundant number, since it is smaller than the sum of its proper divisors (25555814388).

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

13333466952 is a wasteful number, since it uses less digits than its factorization.

13333466952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245182 (or 14245175 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The spelling of 13333466952 in words is "thirteen billion, three hundred thirty-three million, four hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 14245157 28490314 42735471 56980628 85470942 113961256 128206413 170941884 185187041 256412826 341883768 370374082 512825652 555561123 740748164 1025651304 1111122246 1481496328 1666683369 2222244492 3333366738 4444488984 6666733476 13333466952