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34127427607 = 7134713758243
BaseRepresentation
bin11111110010001001…
…110011100000010111
310021002101202221122021
4133302021303200113
51024343110140412
623402233114011
72315465230330
oct376211634027
9107071687567
1034127427607
1113523052529
126745258907
1332ab511460
14191a68d287
15d4b170607
hex7f2273817

34127427607 has 32 divisors (see below), whose sum is σ = 43210524672. Its totient is φ = 26234060544.

The previous prime is 34127427583. The next prime is 34127427629. The reversal of 34127427607 is 70672472143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34127427607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127427907) 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 31 ways as a sum of consecutive naturals, for example, 556828 + ... + 615070.

It is an arithmetic number, because the mean of its divisors is an integer number (1350328896).

Almost surely, 234127427607 is an apocalyptic number.

34127427607 is a deficient number, since it is larger than the sum of its proper divisors (9083097065).

34127427607 is a wasteful number, since it uses less digits than its factorization.

34127427607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58447.

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 34127427607 in words is "thirty-four billion, one hundred twenty-seven million, four hundred twenty-seven thousand, six hundred seven".

Divisors: 1 7 13 47 91 137 329 611 959 1781 4277 6439 12467 45073 58243 83707 407701 585949 757159 2737421 5300113 7979291 19161947 35586473 55855037 103730783 249105311 375026677 726115481 2625186739 4875346801 34127427607