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2715151680217 is a prime number
BaseRepresentation
bin100111100000101011101…
…001101100001011011001
3100121120021120220100112101
4213200223221230023121
5323441112312231332
65435153511243401
7400106663326264
oct47405351541331
910546246810471
102715151680217
11957542381049
1237a26a979561
13169064ab6c62
14955b21bdcdb
154a96235bae7
hex2782ba6c2d9

2715151680217 has 2 divisors, whose sum is σ = 2715151680218. Its totient is φ = 2715151680216.

The previous prime is 2715151680119. The next prime is 2715151680251. The reversal of 2715151680217 is 7120861515172.

2715151680217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2372182155721 + 342969524496 = 1540189^2 + 585636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2715151680217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2715151683217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1357575840108 + 1357575840109.

It is an arithmetic number, because the mean of its divisors is an integer number (1357575840109).

Almost surely, 22715151680217 is an apocalyptic number.

It is an amenable number.

2715151680217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2715151680217 is an equidigital number, since it uses as much as digits as its factorization.

2715151680217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235200, while the sum is 46.

The spelling of 2715151680217 in words is "two trillion, seven hundred fifteen billion, one hundred fifty-one million, six hundred eighty thousand, two hundred seventeen".