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2007635291117 is a prime number
BaseRepresentation
bin11101001101110000011…
…000110110101111101101
321002221001112222211022222
4131031300120312233231
5230343114113303432
64134143411445125
7265022034260021
oct35156030665755
97087045884288
102007635291117
11704484868035
12285114bb67a5
1311741c371301
146d25493c381
1537353486112
hex1d370636bed

2007635291117 has 2 divisors, whose sum is σ = 2007635291118. Its totient is φ = 2007635291116.

The previous prime is 2007635291113. The next prime is 2007635291177. The reversal of 2007635291117 is 7111925367002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1599197984836 + 408437306281 = 1264594^2 + 639091^2 .

It is a cyclic number.

It is not a de Polignac number, because 2007635291117 - 22 = 2007635291113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2007635291111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003817645558 + 1003817645559.

It is an arithmetic number, because the mean of its divisors is an integer number (1003817645559).

Almost surely, 22007635291117 is an apocalyptic number.

It is an amenable number.

2007635291117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2007635291117 is an equidigital number, since it uses as much as digits as its factorization.

2007635291117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 2007635291117 in words is "two trillion, seven billion, six hundred thirty-five million, two hundred ninety-one thousand, one hundred seventeen".