Search a number
-
+
1663522146 = 23211133717467
BaseRepresentation
bin110001100100111…
…0101010101100010
311021221012200101100
41203021311111202
511401330202041
6433023015230
756136463536
oct14311652542
94257180340
101663522146
117840188a0
123a513a516
13206846c40
1411ad0bbc6
159b09a6b6
hex63275562

1663522146 has 96 divisors (see below), whose sum is σ = 4349112768. Its totient is φ = 452718720.

The previous prime is 1663522129. The next prime is 1663522171. The reversal of 1663522146 is 6412253661.

1663522146 is a `hidden beast` number, since 1 + 6 + 635 + 2 + 2 + 14 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1663522146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86505 + ... + 103971.

It is an arithmetic number, because the mean of its divisors is an integer number (45303258).

Almost surely, 21663522146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663522146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174556384).

1663522146 is an abundant number, since it is smaller than the sum of its proper divisors (2685590622).

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

1663522146 is a wasteful number, since it uses less digits than its factorization.

1663522146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17533 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1663522146 is about 40786.2985082000. The cubic root of 1663522146 is about 1184.8849837629.

It can be divided in two parts, 16635 and 22146, that added together give a triangular number (38781 = T278).

The spelling of 1663522146 in words is "one billion, six hundred sixty-three million, five hundred twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 37 39 66 74 78 99 111 117 143 198 222 234 286 333 407 429 481 666 814 858 962 1221 1287 1443 2442 2574 2886 3663 4329 5291 7326 8658 10582 15873 17467 31746 34934 47619 52401 95238 104802 157203 192137 227071 314406 384274 454142 576411 646279 681213 1152822 1292558 1362426 1729233 1938837 2043639 2497781 3458466 3877674 4087278 4995562 5816511 7109069 7493343 8401627 11633022 14218138 14986686 16803254 21327207 22480029 25204881 42654414 44960058 50409762 63981621 75614643 92417897 127963242 151229286 184835794 277253691 554507382 831761073 1663522146