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7117008053 = 37732634953
BaseRepresentation
bin1101010000011010…
…01110110010110101
3200100222220110122212
412220031032302311
5104033423224203
63134114103205
7341236366421
oct65015166265
920328813585
107117008053
113022402541
12146757ab05
1389562308c
144b72d7b81
152b9c2d1d8
hex1a834ecb5

7117008053 has 8 divisors (see below), whose sum is σ = 7409490648. Its totient is φ = 6829795584.

The previous prime is 7117008023. The next prime is 7117008077. The reversal of 7117008053 is 3508007117.

It can be written as a sum of positive squares in 4 ways, for example, as 4019306404 + 3097701649 = 63398^2 + 55657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7117008053 - 214 = 7116991669 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7117008023) 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 7 ways as a sum of consecutive naturals, for example, 1314776 + ... + 1320177.

It is an arithmetic number, because the mean of its divisors is an integer number (926186331).

Almost surely, 27117008053 is an apocalyptic number.

7117008053 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7117008053 is a deficient number, since it is larger than the sum of its proper divisors (292482595).

7117008053 is a wasteful number, since it uses less digits than its factorization.

7117008053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635063.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 7117008053 is about 84362.3615897516. The cubic root of 7117008053 is about 1923.5308340816.

The spelling of 7117008053 in words is "seven billion, one hundred seventeen million, eight thousand, fifty-three".

Divisors: 1 37 73 2701 2634953 97493261 192351569 7117008053