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14729348617 = 291213418721
BaseRepresentation
bin11011011011111000…
…00000011000001001
31102000111212102210021
431231330000120021
5220131203123432
610433325020441
71031002253224
oct155574003011
942014772707
1014729348617
116279373695
122a309b4721
1315097558c9
149da2d05bb
155b31a1697
hex36df00609

14729348617 has 8 divisors (see below), whose sum is σ = 15249855240. Its totient is φ = 14209681920.

The previous prime is 14729348581. The next prime is 14729348639. The reversal of 14729348617 is 71684392741.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121242121 + 14608106496 = 11011^2 + 120864^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14729348617 - 219 = 14728824329 is a prime.

It is a super-3 number, since 3×147293486173 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14729343617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174184 + ... + 244537.

It is an arithmetic number, because the mean of its divisors is an integer number (1906231905).

Almost surely, 214729348617 is an apocalyptic number.

It is an amenable number.

14729348617 is a deficient number, since it is larger than the sum of its proper divisors (520506623).

14729348617 is a wasteful number, since it uses less digits than its factorization.

14729348617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419963.

The product of its digits is 2032128, while the sum is 52.

The spelling of 14729348617 in words is "fourteen billion, seven hundred twenty-nine million, three hundred forty-eight thousand, six hundred seventeen".

Divisors: 1 29 1213 35177 418721 12142909 507908573 14729348617