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164464313777 is a prime number
BaseRepresentation
bin1001100100101011010…
…1100100010110110001
3120201111210121210012122
42121022311210112301
510143310331020102
6203315345004025
714611402413161
oct2311265442661
9521453553178
10164464313777
11638268aa185
1227a5a923615
131268012a1ca
147d627b05a1
15442887c0a2
hex264ad645b1

164464313777 has 2 divisors, whose sum is σ = 164464313778. Its totient is φ = 164464313776.

The previous prime is 164464313737. The next prime is 164464313801. The reversal of 164464313777 is 777313464461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142762309921 + 21702003856 = 377839^2 + 147316^2 .

It is a cyclic number.

It is not a de Polignac number, because 164464313777 - 226 = 164397204913 is a prime.

It is a super-2 number, since 2×1644643137772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164464313707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82232156888 + 82232156889.

It is an arithmetic number, because the mean of its divisors is an integer number (82232156889).

Almost surely, 2164464313777 is an apocalyptic number.

It is an amenable number.

164464313777 is a deficient number, since it is larger than the sum of its proper divisors (1).

164464313777 is an equidigital number, since it uses as much as digits as its factorization.

164464313777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7112448, while the sum is 53.

The spelling of 164464313777 in words is "one hundred sixty-four billion, four hundred sixty-four million, three hundred thirteen thousand, seven hundred seventy-seven".