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34061612016 = 2434316502719
BaseRepresentation
bin11111101110001110…
…101111001111110000
310020220210221011121210
4133232032233033300
51024224233041031
623351522320120
72314035632205
oct375616571760
9106823834553
1034061612016
111349998a283
1267271b9040
13329a9a9413
141911a39cac
15d454be746
hex7ee3af3f0

34061612016 has 40 divisors (see below), whose sum is σ = 90038840320. Its totient is φ = 11089826496.

The previous prime is 34061612009. The next prime is 34061612021. The reversal of 34061612016 is 61021616043.

It is a congruent number.

It is an unprimeable number.

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, 8249296 + ... + 8253423.

It is an arithmetic number, because the mean of its divisors is an integer number (2250971008).

Almost surely, 234061612016 is an apocalyptic number.

It is an amenable number.

34061612016 is an abundant number, since it is smaller than the sum of its proper divisors (55977228304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34061612016 is a wasteful number, since it uses less digits than its factorization.

34061612016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502773 (or 16502767 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 34061612016 in words is "thirty-four billion, sixty-one million, six hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 16502719 33005438 49508157 66010876 99016314 132021752 198032628 264043504 396065256 709616917 792130512 1419233834 2128850751 2838467668 4257701502 5676935336 8515403004 11353870672 17030806008 34061612016