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457963147969 is a prime number
BaseRepresentation
bin1101010101000001011…
…10110001001011000001
31121210002020110101000221
412222200232301023001
530000402031213334
6550215123343041
745041516346415
oct6524056611301
91553066411027
10457963147969
11167248292378
127490ab21a81
13342550ba432
1418246326d45
15bda54098b4
hex6aa0bb12c1

457963147969 has 2 divisors, whose sum is σ = 457963147970. Its totient is φ = 457963147968.

The previous prime is 457963147919. The next prime is 457963147997. The reversal of 457963147969 is 969741369754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402837743025 + 55125404944 = 634695^2 + 234788^2 .

It is a cyclic number.

It is not a de Polignac number, because 457963147969 - 219 = 457962623681 is a prime.

It is a super-5 number, since 5×4579631479695 (a number of 60 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 457963147898 and 457963147907.

It is not a weakly prime, because it can be changed into another prime (457963147919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228981573984 + 228981573985.

It is an arithmetic number, because the mean of its divisors is an integer number (228981573985).

Almost surely, 2457963147969 is an apocalyptic number.

It is an amenable number.

457963147969 is a deficient number, since it is larger than the sum of its proper divisors (1).

457963147969 is an equidigital number, since it uses as much as digits as its factorization.

457963147969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 308629440, while the sum is 70.

The spelling of 457963147969 in words is "four hundred fifty-seven billion, nine hundred sixty-three million, one hundred forty-seven thousand, nine hundred sixty-nine".