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34276545041 = 23291131912381
BaseRepresentation
bin11111111011000010…
…101001001000010001
310021110210100220022012
4133323002221020101
51030144243420131
623425121152305
72322255553124
oct377302511021
9107423326265
1034276545041
111359a241682
12678718b695
13330339171b
1419323c83bb
15d592c852b
hex7fb0a9211

34276545041 has 32 divisors (see below), whose sum is σ = 37538795520. Its totient is φ = 31198182400.

The previous prime is 34276545019. The next prime is 34276545059. The reversal of 34276545041 is 14054567243.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34276545041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34276545041.

It is not an unprimeable number, because it can be changed into a prime (34276545241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14394671 + ... + 14397051.

It is an arithmetic number, because the mean of its divisors is an integer number (1173087360).

Almost surely, 234276545041 is an apocalyptic number.

It is an amenable number.

34276545041 is a deficient number, since it is larger than the sum of its proper divisors (3262250479).

34276545041 is a wasteful number, since it uses less digits than its factorization.

34276545041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737.

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 34276545041 in words is "thirty-four billion, two hundred seventy-six million, five hundred forty-five thousand, forty-one".

Divisors: 1 23 29 113 191 667 2381 2599 3277 4393 5539 21583 54763 69049 75371 127397 269053 454771 496409 625907 1588127 6188219 7802537 10459733 13188359 14395861 51389123 179458351 303332257 1181949829 1490284567 34276545041