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34051117067 = 1122767720143
BaseRepresentation
bin11111101101100110…
…101101000000001011
310020220002011222020222
4133231212231000023
51024214041221232
623350505340255
72313550501532
oct375546550013
9106802158228
1034051117067
1113493a71270
12672379768b
1332987734a6
1419104a7319
15d445e9d12
hex7ed9ad00b

34051117067 has 16 divisors (see below), whose sum is σ = 37367281152. Its totient is φ = 30772141920.

The previous prime is 34051117039. The next prime is 34051117081. The reversal of 34051117067 is 76071115043.

It is a cyclic number.

It is not a de Polignac number, because 34051117067 - 26 = 34051117003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34051117097) 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, 1680398 + ... + 1700540.

It is an arithmetic number, because the mean of its divisors is an integer number (2335455072).

Almost surely, 234051117067 is an apocalyptic number.

34051117067 is a deficient number, since it is larger than the sum of its proper divisors (3316164085).

34051117067 is a wasteful number, since it uses less digits than its factorization.

34051117067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21058.

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 34051117067 in words is "thirty-four billion, fifty-one million, one hundred seventeen thousand, sixty-seven".

Divisors: 1 11 227 677 2497 7447 20143 153679 221573 1690469 4572461 13636811 50297071 150004921 3095556097 34051117067