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247334144929 = 211223572
BaseRepresentation
bin1110011001011001000…
…0111000101110100001
3212122102010211101110021
43212112100320232201
513023020020114204
6305342421033441
723604112354354
oct3462620705641
9778363741407
10247334144929
1195991749943
123bb27855881
131a42899bc61
14bd8474a29b
156678c7b154
hex3996438ba1

247334144929 has 9 divisors (see below), whose sum is σ = 248617380531. Its totient is φ = 246057506520.

The previous prime is 247334144923. The next prime is 247334144957. The reversal of 247334144929 is 929441433742.

It is a happy number.

The square root of 247334144929 is 497327.

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

It can be written as a sum of positive squares in only one way, i.e., 44967323025 + 202366821904 = 212055^2 + 449852^2 .

It is not a de Polignac number, because 247334144929 - 219 = 247333620641 is a prime.

It is a super-2 number, since 2×2473341449292 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247334144923) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104934819 + ... + 104937175.

Almost surely, 2247334144929 is an apocalyptic number.

247334144929 is the 497327-th square number.

247334144929 is the 248664-th centered octagonal number.

It is an amenable number.

247334144929 is a deficient number, since it is larger than the sum of its proper divisors (1283235602).

247334144929 is an frugal number, since it uses more digits than its factorization.

247334144929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 2568 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 247334144929 in words is "two hundred forty-seven billion, three hundred thirty-four million, one hundred forty-four thousand, nine hundred twenty-nine".

Divisors: 1 211 2357 44521 497327 5555449 104935997 1172199739 247334144929