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34013542016 = 27445759621
BaseRepresentation
bin11111101011010111…
…010111011010000000
310020210110110221222102
4133223113113122000
51024124431321031
623343044125532
72312613223346
oct375327273200
9106713427872
1034013542016
1113474837603
1267130968a8
133290a4862c
1419094c5996
15d411767cb
hex7eb5d7680

34013542016 has 32 divisors (see below), whose sum is σ = 67777693380. Its totient is φ = 17002670080.

The previous prime is 34013541983. The next prime is 34013542033. The reversal of 34013542016 is 61024531043.

It can be written as a sum of positive squares in 2 ways, for example, as 31221476416 + 2792065600 = 176696^2 + 52840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34013542016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 540686 + ... + 600306.

Almost surely, 234013542016 is an apocalyptic number.

It is an amenable number.

34013542016 is a deficient number, since it is larger than the sum of its proper divisors (33764151364).

34013542016 is an equidigital number, since it uses as much as digits as its factorization.

34013542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64092 (or 64080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 34013542016 in words is "thirty-four billion, thirteen million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 4457 8914 17828 35656 59621 71312 119242 142624 238484 285248 476968 570496 953936 1907872 3815744 7631488 265730797 531461594 1062923188 2125846376 4251692752 8503385504 17006771008 34013542016