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428713495065 = 3354796629761
BaseRepresentation
bin1100011110100010101…
…00001100101000011001
31111222120210002001101000
412033101110030220121
524011001123320230
6524540454015213
742654630403422
oct6172124145031
91458523061330
10428713495065
111558a8656209
126b107347509
1331573311acb
1416a6d800649
15b2425eab60
hex63d150ca19

428713495065 has 32 divisors (see below), whose sum is σ = 763748582400. Its totient is φ = 228169820160.

The previous prime is 428713495051. The next prime is 428713495099. The reversal of 428713495065 is 560594317824.

It is a happy number.

428713495065 is a `hidden beast` number, since 4 + 2 + 87 + 13 + 49 + 506 + 5 = 666.

It is not a de Polignac number, because 428713495065 - 25 = 428713495033 is a prime.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 3250216 + ... + 3379545.

It is an arithmetic number, because the mean of its divisors is an integer number (23867143200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅428713495065 = 857426990130, but 3⋅428713495065 = 1286140485195 is not.

Almost surely, 2428713495065 is an apocalyptic number.

428713495065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428713495065 is a deficient number, since it is larger than the sum of its proper divisors (335035087335).

428713495065 is a wasteful number, since it uses less digits than its factorization.

428713495065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630254 (or 6630248 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 428713495065 in words is "four hundred twenty-eight billion, seven hundred thirteen million, four hundred ninety-five thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 135 479 1437 2395 4311 7185 12933 21555 64665 6629761 19889283 33148805 59667849 99446415 179003547 298339245 895017735 3175655519 9526966557 15878277595 28580899671 47634832785 85742699013 142904498355 428713495065