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34081679181 = 3112773728441
BaseRepresentation
bin11111101111011011…
…010010011101001101
310020222012200200121010
4133233123102131031
51024244402213211
623353520355433
72314401331104
oct375733223515
9106865620533
1034081679181
11134aa246010
126731a75b79
1332a1bb4294
14191458103b
15d471354a6
hex7ef6d274d

34081679181 has 16 divisors (see below), whose sum is σ = 49752330048. Its totient is φ = 20580988800.

The previous prime is 34081679173. The next prime is 34081679183. The reversal of 34081679181 is 18197618043.

It is not a de Polignac number, because 34081679181 - 23 = 34081679173 is a prime.

It is a super-3 number, since 3×340816791813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34081679181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34081679183) 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 15 ways as a sum of consecutive naturals, for example, 1855080 + ... + 1873361.

It is an arithmetic number, because the mean of its divisors is an integer number (3109520628).

Almost surely, 234081679181 is an apocalyptic number.

It is an amenable number.

34081679181 is a deficient number, since it is larger than the sum of its proper divisors (15670650867).

34081679181 is a wasteful number, since it uses less digits than its factorization.

34081679181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728732.

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 34081679181 in words is "thirty-four billion, eighty-one million, six hundred seventy-nine thousand, one hundred eighty-one".

Divisors: 1 3 11 33 277 831 3047 9141 3728441 11185323 41012851 123038553 1032778157 3098334471 11360559727 34081679181