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29932114081 = 172101772
BaseRepresentation
bin11011111000000101…
…111101000010100001
32212021000112221101211
4123320011331002201
5442300110122311
621430045030121
72106513525502
oct337005750241
985230487354
1029932114081
111176a997371
125974255341
132a902b690c
14163d416ba9
15ba2bb9821
hex6f817d0a1

29932114081 has 9 divisors (see below), whose sum is σ = 31799522649. Its totient is φ = 28168633344.

The previous prime is 29932114073. The next prime is 29932114087. The reversal of 29932114081 is 18041123992.

It is a happy number.

The square root of 29932114081 is 173009.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5807811681 + 24124302400 = 76209^2 + 155320^2 .

It is not a de Polignac number, because 29932114081 - 23 = 29932114073 is a prime.

It is a super-2 number, since 2×299321140812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29932114087) 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 8 ways as a sum of consecutive naturals, for example, 2936065 + ... + 2946241.

Almost surely, 229932114081 is an apocalyptic number.

29932114081 is the 173009-th square number.

29932114081 is the 86505-th centered octagonal number.

It is an amenable number.

29932114081 is a deficient number, since it is larger than the sum of its proper divisors (1867408568).

29932114081 is an frugal number, since it uses more digits than its factorization.

29932114081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20388 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 29932114081 in words is "twenty-nine billion, nine hundred thirty-two million, one hundred fourteen thousand, eighty-one".

Divisors: 1 17 289 10177 173009 2941153 103571329 1760712593 29932114081