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82374827728117 is a prime number
BaseRepresentation
bin10010101110101101100010…
…010110000101110011110101
3101210122221211101012100011211
4102232231202112011303311
541244112121344244432
6451110250132401421
723231246010544561
oct2256554226056365
9353587741170154
1082374827728117
1124279a71821941
1292a4963176271
1336c6bb3901c92
14164ad6a4186a1
1597cb5945dd47
hex4aeb62585cf5

82374827728117 has 2 divisors, whose sum is σ = 82374827728118. Its totient is φ = 82374827728116.

The previous prime is 82374827728087. The next prime is 82374827728177. The reversal of 82374827728117 is 71182772847328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82303343150161 + 71484577956 = 9072119^2 + 267366^2 .

It is a cyclic number.

It is not a de Polignac number, because 82374827728117 - 231 = 82372680244469 is a prime.

It is a super-2 number, since 2×823748277281172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82374827728177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41187413864058 + 41187413864059.

It is an arithmetic number, because the mean of its divisors is an integer number (41187413864059).

Almost surely, 282374827728117 is an apocalyptic number.

It is an amenable number.

82374827728117 is a deficient number, since it is larger than the sum of its proper divisors (1).

82374827728117 is an equidigital number, since it uses as much as digits as its factorization.

82374827728117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 118013952, while the sum is 67.

The spelling of 82374827728117 in words is "eighty-two trillion, three hundred seventy-four billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, one hundred seventeen".