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29871245889 = 3253210872
BaseRepresentation
bin11011110100011101…
…110000101001000001
32212002210000111221100
4123310131300221001
5442134014332024
621420032245013
72105144254302
oct336435605101
985083014840
1029871245889
11117395a3181
1259579a0769
132a807c4734
1416352d07a9
15b9c6947c9
hex6f4770a41

29871245889 has 27 divisors (see below), whose sum is σ = 44017310883. Its totient is φ = 19520450352.

The previous prime is 29871245861. The next prime is 29871245909. The reversal of 29871245889 is 98854217892.

The square root of 29871245889 is 172833.

It is a perfect power (a square), and thus also a powerful number.

29871245889 is a `hidden beast` number, since 2 + 98 + 7 + 12 + 458 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21534095025 + 8337150864 = 146745^2 + 91308^2 .

It is not a de Polignac number, because 29871245889 - 25 = 29871245857 is a prime.

It is a super-2 number, since 2×298712458892 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29871245849) 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 26 ways as a sum of consecutive naturals, for example, 27479904 + ... + 27480990.

Almost surely, 229871245889 is an apocalyptic number.

29871245889 is the 172833-rd square number.

29871245889 is the 86417-th centered octagonal number.

It is an amenable number.

29871245889 is a deficient number, since it is larger than the sum of its proper divisors (14146064994).

29871245889 is an frugal number, since it uses more digits than its factorization.

29871245889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 29871245889 in words is "twenty-nine billion, eight hundred seventy-one million, two hundred forty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 53 159 477 1087 2809 3261 8427 9783 25281 57611 172833 518499 1181569 3053383 3544707 9160149 10634121 27480447 62623157 187869471 563608413 3319027321 9957081963 29871245889