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34004065537 = 13151163106273
BaseRepresentation
bin11111101010110011…
…001101110100000001
310020202210122111200201
4133222303031310001
51024120020044122
623342105045201
72312436534211
oct375263156401
9106683574621
1034004065537
111346a454802
12670ba86801
13328baab150
14190813a241
15d40403a27
hex7eaccdd01

34004065537 has 16 divisors (see below), whose sum is σ = 37088775808. Its totient is φ = 30988915200.

The previous prime is 34004065481. The next prime is 34004065547. The reversal of 34004065537 is 73556040043.

It is a cyclic number.

It is not a de Polignac number, because 34004065537 - 219 = 34003541249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004065496 and 34004065505.

It is not an unprimeable number, because it can be changed into a prime (34004065547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266833 + ... + 373105.

It is an arithmetic number, because the mean of its divisors is an integer number (2318048488).

Almost surely, 234004065537 is an apocalyptic number.

It is an amenable number.

34004065537 is a deficient number, since it is larger than the sum of its proper divisors (3084710271).

34004065537 is a wasteful number, since it uses less digits than its factorization.

34004065537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106600.

The product of its (nonzero) digits is 151200, while the sum is 37.

The spelling of 34004065537 in words is "thirty-four billion, four million, sixty-five thousand, five hundred thirty-seven".

Divisors: 1 13 151 163 1963 2119 24613 106273 319969 1381549 16047223 17322499 208613899 225192487 2615697349 34004065537