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495152068338 = 23413722310177
BaseRepresentation
bin1110011010010010101…
…11001111011011110010
31202100001222222021020000
413031021113033123302
531103032412141323
61015245243130430
750526221064654
oct7151127173362
91670058867200
10495152068338
11180aa1485704
127bb69513a16
1337900963665
1419d734286d4
15cd30218e43
hex73495cf6f2

495152068338 has 40 divisors (see below), whose sum is σ = 1117606056732. Its totient is φ = 163845932544.

The previous prime is 495152068319. The next prime is 495152068339. The reversal of 495152068338 is 833860251594.

495152068338 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 520 + 6 + 83 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 446281449849 + 48870618489 = 668043^2 + 221067^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (495152068339) 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 in 19 ways as a sum of consecutive naturals, for example, 11132895 + ... + 11177282.

Almost surely, 2495152068338 is an apocalyptic number.

495152068338 is an abundant number, since it is smaller than the sum of its proper divisors (622453988394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495152068338 is a wasteful number, since it uses less digits than its factorization.

495152068338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22310328 (or 22310319 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 495152068338 in words is "four hundred ninety-five billion, one hundred fifty-two million, sixty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 11097 22194 22310177 44620354 66930531 133861062 200791593 401583186 602374779 1204749558 1807124337 3056494249 3614248674 6112988498 9169482747 18338965494 27508448241 55016896482 82525344723 165050689446 247576034169 495152068338