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34149192025 = 5213228432
BaseRepresentation
bin11111110011011100…
…110101000101011001
310021010220201200210211
4133303130311011121
51024414143121100
623404331411121
72316151225414
oct376334650531
9107126650724
1034149192025
1113534368453
1267505b3aa1
1332b2b91a00
14191d516b7b
15d4d01e1ba
hex7f3735159

34149192025 has 27 divisors (see below), whose sum is σ = 45869001789. Its totient is φ = 25208994720.

The previous prime is 34149191977. The next prime is 34149192029. The reversal of 34149192025 is 52029194143.

The square root of 34149192025 is 184795.

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 8802004761 + 25347187264 = 93819^2 + 159208^2 .

It is not a de Polignac number, because 34149192025 - 221 = 34147094873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34149192029) 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, 12010254 + ... + 12013096.

Almost surely, 234149192025 is an apocalyptic number.

34149192025 is the 184795-th square number.

34149192025 is the 92398-th centered octagonal number.

It is an amenable number.

34149192025 is a deficient number, since it is larger than the sum of its proper divisors (11719809764).

34149192025 is an frugal number, since it uses more digits than its factorization.

34149192025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 34149192025 in words is "thirty-four billion, one hundred forty-nine million, one hundred ninety-two thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2843 4225 14215 36959 71075 184795 480467 923975 2402335 8082649 12011675 40413245 105074437 202066225 525372185 1365967681 2626860925 6829838405 34149192025