Search a number
-
+
442675490787 = 322373262111177
BaseRepresentation
bin1100111000100011000…
…00111110111111100011
31120022121211000220212200
412130101200332333203
524223044411201122
6535210132024243
743660624405335
oct6342140767743
91508554026780
10442675490787
11160812857252
1271963162083
1332989aa563a
14175d5c23455
15b7ad2235ac
hex671183efe3

442675490787 has 48 divisors (see below), whose sum is σ = 676679635008. Its totient is φ = 278287764480.

The previous prime is 442675490753. The next prime is 442675490941. The reversal of 442675490787 is 787094576244.

442675490787 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 7 + 549 + 0 + 7 + 87 = 666.

It is not a de Polignac number, because 442675490787 - 223 = 442667102179 is a prime.

It is a super-2 number, since 2×4426754907872 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442675490707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39600343 + ... + 39611519.

It is an arithmetic number, because the mean of its divisors is an integer number (14097492396).

Almost surely, 2442675490787 is an apocalyptic number.

442675490787 is a deficient number, since it is larger than the sum of its proper divisors (234004144221).

442675490787 is a wasteful number, since it uses less digits than its factorization.

442675490787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13900 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 442675490787 in words is "four hundred forty-two billion, six hundred seventy-five million, four hundred ninety thousand, seven hundred eighty-seven".

Divisors: 1 3 9 23 69 73 207 219 657 1679 2621 5037 7863 11177 15111 23589 33531 60283 100593 180849 191333 257071 542547 573999 771213 815921 1721997 2313639 2447763 4400659 7343289 13201977 18766183 29294917 39605931 56298549 87884751 168895647 263654253 673783091 2021349273 2138528941 6064047819 6415586823 19246760469 49186165643 147558496929 442675490787