Search a number
-
+
393385712382 = 232131988480817
BaseRepresentation
bin1011011100101111001…
…11011001101011111110
31101121101201121202010100
411232113213121223332
522421123220244012
6500415141021530
740264315245435
oct5562747315376
91347351552110
10393385712382
11141919a851a3
12642a80b48a6
132b1332136a0
141507b96c11c
15a375dbe8dc
hex5b979d9afe

393385712382 has 48 divisors (see below), whose sum is σ = 966210532560. Its totient is φ = 114671137536.

The previous prime is 393385712347. The next prime is 393385712387. The reversal of 393385712382 is 283217583393.

393385712382 is a `hidden beast` number, since 3 + 9 + 3 + 38 + 571 + 2 + 38 + 2 = 666.

It is a super-2 number, since 2×3933857123822 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393385712387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44235963 + ... + 44244854.

It is an arithmetic number, because the mean of its divisors is an integer number (20129386095).

Almost surely, 2393385712382 is an apocalyptic number.

393385712382 is an abundant number, since it is smaller than the sum of its proper divisors (572824820178).

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

393385712382 is a wasteful number, since it uses less digits than its factorization.

393385712382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88480857 (or 88480854 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 393385712382 in words is "three hundred ninety-three billion, three hundred eighty-five million, seven hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 88480817 176961634 265442451 530884902 796327353 1150250621 1592654706 1681135523 2300501242 3362271046 3450751863 5043406569 6901503726 10086813138 10352255589 15130219707 20704511178 21854761799 30260439414 43709523598 65564285397 131128570794 196692856191 393385712382