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29181918249 = 3311394324919
BaseRepresentation
bin11011001011011000…
…001011110000101001
32210022201221001012000
4123023120023300221
5434231032340444
621223405441213
72052104132601
oct331330136051
983281831160
1029181918249
1111415483110
1257a4b70209
1329a0a50c63
1415ab933c01
15b5bdce469
hex6cb60bc29

29181918249 has 32 divisors (see below), whose sum is σ = 47176550400. Its totient is φ = 17680816080.

The previous prime is 29181918217. The next prime is 29181918301. The reversal of 29181918249 is 94281918192.

It is not a de Polignac number, because 29181918249 - 25 = 29181918217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29181918195 and 29181918204.

It is not an unprimeable number, because it can be changed into a prime (29181998249) 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 31 ways as a sum of consecutive naturals, for example, 1158612 + ... + 1183530.

It is an arithmetic number, because the mean of its divisors is an integer number (1474267200).

Almost surely, 229181918249 is an apocalyptic number.

It is an amenable number.

29181918249 is a deficient number, since it is larger than the sum of its proper divisors (17994632151).

29181918249 is a wasteful number, since it uses less digits than its factorization.

29181918249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882 (or 28876 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 29181918249 in words is "twenty-nine billion, one hundred eighty-one million, nine hundred eighteen thousand, two hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 297 3943 11829 24919 35487 43373 74757 106461 130119 224271 274109 390357 672813 822327 1171071 2466981 7400943 98255617 294766851 884300553 1080811787 2652901659 3242435361 9727306083 29181918249