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29175031249 = 7213218772
BaseRepresentation
bin11011001010111101…
…111010010111010001
32210022020222010222221
4123022331322113101
5434222301444444
621223002101041
72051661450100
oct331275722721
983266863887
1029175031249
11114115a9881
1257a27aa781
13299c4ac300
1415aaa60037
15b5b4bda84
hex6caf7a5d1

29175031249 has 27 divisors (see below), whose sum is σ = 36769348017. Its totient is φ = 23071243104.

The previous prime is 29175031217. The next prime is 29175031279. The reversal of 29175031249 is 94213057192.

The square root of 29175031249 is 170807.

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 1976424849 + 27198606400 = 44457^2 + 164920^2 .

It is not a de Polignac number, because 29175031249 - 25 = 29175031217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29175031279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15542499 + ... + 15544375.

Almost surely, 229175031249 is an apocalyptic number.

29175031249 is the 170807-th square number.

29175031249 is the 85404-th centered octagonal number.

It is an amenable number.

29175031249 is a deficient number, since it is larger than the sum of its proper divisors (7594316768).

29175031249 is an frugal number, since it uses more digits than its factorization.

29175031249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 29175031249 in words is "twenty-nine billion, one hundred seventy-five million, thirty-one thousand, two hundred forty-nine".

Divisors: 1 7 13 49 91 169 637 1183 1877 8281 13139 24401 91973 170807 317213 1195649 2220491 3523129 15543437 24661903 45800677 172633321 320604739 595408801 2244233173 4167861607 29175031249