Search a number
-
+
29479334148 = 223211392918947
BaseRepresentation
bin11011011101000110…
…101111000100000100
32211002110120100002200
4123131012233010010
5440333202143043
621313112234500
72062345130415
oct333506570404
984073510080
1029479334148
1111558352080
12586869ba30
132a1a5557b4
1415d923380c
15b7807c7d3
hex6dd1af104

29479334148 has 72 divisors (see below), whose sum is σ = 81316478880. Its totient is φ = 8930386560.

The previous prime is 29479334141. The next prime is 29479334161. The reversal of 29479334148 is 84143397492.

29479334148 is a `hidden beast` number, since 29 + 479 + 3 + 3 + 4 + 148 = 666.

It is a super-2 number, since 2×294793341482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29479334094 and 29479334103.

It is not an unprimeable number, because it can be changed into a prime (29479334141) 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, 1546411 + ... + 1565357.

It is an arithmetic number, because the mean of its divisors is an integer number (1129395540).

Almost surely, 229479334148 is an apocalyptic number.

It is an amenable number.

29479334148 is an abundant number, since it is smaller than the sum of its proper divisors (51837144732).

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

29479334148 is a wasteful number, since it uses less digits than its factorization.

29479334148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22897 (or 22892 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 29479334148 in words is "twenty-nine billion, four hundred seventy-nine million, three hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3929 7858 11787 15716 18947 23574 35361 37894 43219 47148 56841 70722 75788 86438 113682 129657 141444 170523 172876 208417 227364 259314 341046 388971 416834 518628 625251 682092 777942 833668 1250502 1555884 1875753 2501004 3751506 7503012 74442763 148885526 223328289 297771052 446656578 669984867 818870393 893313156 1339969734 1637740786 2456611179 2679939468 3275481572 4913222358 7369833537 9826444716 14739667074 29479334148