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457968658969 is a prime number
BaseRepresentation
bin1101010101000010000…
…11110010101000011001
31121210002121211100201001
412222201003302220121
530000404434041334
6550215441425001
745041614241443
oct6524103625031
91553077740631
10457968658969
11167250406918
127491093b161
1334256299993
1418246d5d493
15bda5b47714
hex6aa10f2a19

457968658969 has 2 divisors, whose sum is σ = 457968658970. Its totient is φ = 457968658968.

The previous prime is 457968658921. The next prime is 457968658981. The reversal of 457968658969 is 969856869754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 442165152025 + 15803506944 = 664955^2 + 125712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-457968658969 is a prime.

It is a super-4 number, since 4×4579686589694 (a number of 48 digits) contains 4444 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 = 457968658892 and 457968658901.

It is not a weakly prime, because it can be changed into another prime (457968658369) 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, 228984329484 + 228984329485.

It is an arithmetic number, because the mean of its divisors is an integer number (228984329485).

Almost surely, 2457968658969 is an apocalyptic number.

It is an amenable number.

457968658969 is a deficient number, since it is larger than the sum of its proper divisors (1).

457968658969 is an equidigital number, since it uses as much as digits as its factorization.

457968658969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7054387200, while the sum is 82.

The spelling of 457968658969 in words is "four hundred fifty-seven billion, nine hundred sixty-eight million, six hundred fifty-eight thousand, nine hundred sixty-nine".