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497128247361 = 322291553155317
BaseRepresentation
bin1110011101111110010…
…01110001000001000001
31202112011201111120012200
413032333021301001001
531121104312403421
61020213315343413
750626205244564
oct7167711610101
91675151446180
10497128247361
11181915a32209
128041b2b1b69
1337b571ba365
141a0bda824db
15cde8973726
hex73bf271041

497128247361 has 24 divisors (see below), whose sum is σ = 721678874280. Its totient is φ = 329756990976.

The previous prime is 497128247359. The next prime is 497128247401. The reversal of 497128247361 is 163742821794.

497128247361 is a `hidden beast` number, since 4 + 97 + 1 + 2 + 82 + 473 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251948783025 + 245179464336 = 501945^2 + 495156^2 .

It is not a de Polignac number, because 497128247361 - 21 = 497128247359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 497128247298 and 497128247307.

It is not an unprimeable number, because it can be changed into a prime (497128247311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3123075 + ... + 3278391.

It is an arithmetic number, because the mean of its divisors is an integer number (30069953095).

Almost surely, 2497128247361 is an apocalyptic number.

It is an amenable number.

497128247361 is a deficient number, since it is larger than the sum of its proper divisors (224550626919).

497128247361 is a wasteful number, since it uses less digits than its factorization.

497128247361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157105 (or 157102 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 497128247361 in words is "four hundred ninety-seven billion, one hundred twenty-eight million, two hundred forty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 229 687 1553 2061 4659 13977 155317 355637 465951 1066911 1397853 3200733 35567593 106702779 241207301 320108337 723621903 2170865709 55236471929 165709415787 497128247361