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478735634081 is a prime number
BaseRepresentation
bin1101111011101101101…
…11100000111010100001
31200202200220120000000102
412331312313200322201
530320422310242311
61003532250032145
746405341514415
oct6756667407241
91622626500012
10478735634081
1117503786a671
1278947718655
13361b5833733
1419257054d45
15c6bddb543b
hex6f76de0ea1

478735634081 has 2 divisors, whose sum is σ = 478735634082. Its totient is φ = 478735634080.

The previous prime is 478735634029. The next prime is 478735634107. The reversal of 478735634081 is 180436537874.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360499373056 + 118236261025 = 600416^2 + 343855^2 .

It is a cyclic number.

It is not a de Polignac number, because 478735634081 - 26 = 478735634017 is a prime.

It is a super-2 number, since 2×4787356340812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (478735934081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 239367817040 + 239367817041.

It is an arithmetic number, because the mean of its divisors is an integer number (239367817041).

Almost surely, 2478735634081 is an apocalyptic number.

It is an amenable number.

478735634081 is a deficient number, since it is larger than the sum of its proper divisors (1).

478735634081 is an equidigital number, since it uses as much as digits as its factorization.

478735634081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 478735634081 in words is "four hundred seventy-eight billion, seven hundred thirty-five million, six hundred thirty-four thousand, eighty-one".