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78289106257 is a prime number
BaseRepresentation
bin100100011101001100…
…1001111010101010001
321111002002202200000001
41020322121033111101
52240314002400012
655544315130001
75441035265125
oct1107231172521
9244062680001
1078289106257
113022518330a
121320aa43901
1374c8842c5b
143b09859585
1520831b7357
hex123a64f551

78289106257 has 2 divisors, whose sum is σ = 78289106258. Its totient is φ = 78289106256.

The previous prime is 78289106219. The next prime is 78289106281. The reversal of 78289106257 is 75260198287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51838637761 + 26450468496 = 227681^2 + 162636^2 .

It is an emirp because it is prime and its reverse (75260198287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 78289106257 - 211 = 78289104209 is a prime.

It is a super-2 number, since 2×782891062572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78289106198 and 78289106207.

It is not a weakly prime, because it can be changed into another prime (78289106057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39144553128 + 39144553129.

It is an arithmetic number, because the mean of its divisors is an integer number (39144553129).

Almost surely, 278289106257 is an apocalyptic number.

It is an amenable number.

78289106257 is a deficient number, since it is larger than the sum of its proper divisors (1).

78289106257 is an equidigital number, since it uses as much as digits as its factorization.

78289106257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 78289106257 in words is "seventy-eight billion, two hundred eighty-nine million, one hundred six thousand, two hundred fifty-seven".