Search a number
-
+
29474993478 = 237898639137
BaseRepresentation
bin11011011100110110…
…001011010101000110
32211002011101210211010
4123130312023111012
5440331044242403
621312435223050
72062263211410
oct333466132506
984064353733
1029474993478
1111555957947
125867147a86
132a19695b58
1415d88239b0
15b779c1603
hex6dcd8b546

29474993478 has 64 divisors (see below), whose sum is σ = 68214804480. Its totient is φ = 8316244992.

The previous prime is 29474993467. The next prime is 29474993479. The reversal of 29474993478 is 87439947492.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29474993479) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3221326 + ... + 3230462.

It is an arithmetic number, because the mean of its divisors is an integer number (1065856320).

Almost surely, 229474993478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29474993478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34107402240).

29474993478 is an abundant number, since it is smaller than the sum of its proper divisors (38739811002).

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

29474993478 is a wasteful number, since it uses less digits than its factorization.

29474993478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101.

The product of its digits is 109734912, while the sum is 66.

The spelling of 29474993478 in words is "twenty-nine billion, four hundred seventy-four million, nine hundred ninety-three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 623 863 1246 1726 1869 2589 3738 5178 6041 9137 12082 18123 18274 27411 36246 54822 63959 76807 127918 153614 191877 230421 383754 460842 537649 813193 1075298 1612947 1626386 2439579 3225894 4879158 5692351 7885231 11384702 15770462 17077053 23655693 34154106 47311386 55196617 110393234 165589851 331179702 701785559 1403571118 2105356677 4210713354 4912498913 9824997826 14737496739 29474993478