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34012645049 = 371737752901
BaseRepresentation
bin11111101011010011…
…111100011010111001
310020210101210101120102
4133223103330122321
51024124214120144
623343013005145
72312602466315
oct375323743271
9106711711512
1034012645049
1113474284709
1267129237b5
1332907c3296
141909330b45
15d4104ab4e
hex7eb4fc6b9

34012645049 has 8 divisors (see below), whose sum is σ = 34934576328. Its totient is φ = 33090854400.

The previous prime is 34012645013. The next prime is 34012645061. The reversal of 34012645049 is 94054621043.

It can be written as a sum of positive squares in 4 ways, for example, as 15450490000 + 18562155049 = 124300^2 + 136243^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34012645049 - 220 = 34011596473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34012641049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616499 + ... + 669399.

It is an arithmetic number, because the mean of its divisors is an integer number (4366822041).

Almost surely, 234012645049 is an apocalyptic number.

It is an amenable number.

34012645049 is a deficient number, since it is larger than the sum of its proper divisors (921931279).

34012645049 is a wasteful number, since it uses less digits than its factorization.

34012645049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70315.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 34012645049 in words is "thirty-four billion, twelve million, six hundred forty-five thousand, forty-nine".

Divisors: 1 37 17377 52901 642949 1957337 919260677 34012645049