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34513442528 = 253729149867
BaseRepresentation
bin100000001001001010…
…010101011011100000
310022002022010112120012
4200021022111123200
51031140420130103
623504422504052
72331163264265
oct401112253340
9108068115505
1034513442528
1113700a36224
126832595028
133340497356
141955a5326c
15d6eec02d8
hex8092956e0

34513442528 has 24 divisors (see below), whose sum is σ = 69784783992. Its totient is φ = 16790322816.

The previous prime is 34513442527. The next prime is 34513442533. The reversal of 34513442528 is 82524431543.

It is a super-3 number, since 3×345134425283 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513442527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14573750 + ... + 14576117.

It is an arithmetic number, because the mean of its divisors is an integer number (2907699333).

Almost surely, 234513442528 is an apocalyptic number.

It is an amenable number.

34513442528 is an abundant number, since it is smaller than the sum of its proper divisors (35271341464).

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

34513442528 is a wasteful number, since it uses less digits than its factorization.

34513442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29149914 (or 29149906 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The spelling of 34513442528 in words is "thirty-four billion, five hundred thirteen million, four hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 29149867 58299734 116599468 233198936 466397872 932795744 1078545079 2157090158 4314180316 8628360632 17256721264 34513442528