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2972127935 = 57175239551
BaseRepresentation
bin1011000100100111…
…0001001010111111
321200010120202001102
42301021301022333
522041331043220
61210531003315
7133436446010
oct26111611277
97603522042
102972127935
111295763787
126ab43953b
133849a5caa
14202a2d007
15125dda775
hexb12712bf

2972127935 has 32 divisors (see below), whose sum is σ = 4324534272. Its totient is φ = 1914278400.

The previous prime is 2972127931. The next prime is 2972127941. The reversal of 2972127935 is 5397212792.

It is not a de Polignac number, because 2972127935 - 22 = 2972127931 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 2972127935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972127931) 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, 306410 + ... + 315960.

It is an arithmetic number, because the mean of its divisors is an integer number (135141696).

Almost surely, 22972127935 is an apocalyptic number.

2972127935 is a deficient number, since it is larger than the sum of its proper divisors (1352406337).

2972127935 is a wasteful number, since it uses less digits than its factorization.

2972127935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103.

The product of its digits is 476280, while the sum is 47.

The square root of 2972127935 is about 54517.2260391154. The cubic root of 2972127935 is about 1437.7691691040.

The spelling of 2972127935 in words is "two billion, nine hundred seventy-two million, one hundred twenty-seven thousand, nine hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 523 595 2615 3661 8891 9551 18305 44455 47755 62237 66857 162367 311185 334285 811835 1136569 4995173 5682845 24975865 34966211 84917941 174831055 424589705 594425587 2972127935