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34127386375 = 53307889313
BaseRepresentation
bin11111110010001001…
…101001011100000111
310021002101200212002011
4133302021221130013
51024343102331000
623402232155051
72315464666165
oct376211513407
9107071625064
1034127386375
1113523024555
126745238a87
1332ab4c8764
14191a67c235
15d4b1632ba
hex7f2269707

34127386375 has 16 divisors (see below), whose sum is σ = 42729759072. Its totient is φ = 27212947200.

The previous prime is 34127386373. The next prime is 34127386399. The reversal of 34127386375 is 57368372143.

It is not a de Polignac number, because 34127386375 - 21 = 34127386373 is a prime.

It is a super-4 number, since 4×341273863754 (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127386373) 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, 406282 + ... + 483031.

It is an arithmetic number, because the mean of its divisors is an integer number (2670609942).

Almost surely, 234127386375 is an apocalyptic number.

34127386375 is a deficient number, since it is larger than the sum of its proper divisors (8602372697).

34127386375 is an equidigital number, since it uses as much as digits as its factorization.

34127386375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889635 (or 889625 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The spelling of 34127386375 in words is "thirty-four billion, one hundred twenty-seven million, three hundred eighty-six thousand, three hundred seventy-five".

Divisors: 1 5 25 125 307 1535 7675 38375 889313 4446565 22232825 111164125 273019091 1365095455 6825477275 34127386375