Search a number
-
+
483823182942 = 233112301924527
BaseRepresentation
bin1110000101001100001…
…10111110010001011110
31201020211110200021001000
413002212012332101132
530411332213323232
61010133145531130
746645406125401
oct7024606762136
91636743607030
10483823182942
11177208634400
12799274a3aa6
1336816866688
14195ba9c5d38
15c8ba86227c
hex70a61be45e

483823182942 has 96 divisors (see below), whose sum is σ = 1182229977600. Its totient is φ = 146558546640.

The previous prime is 483823182907. The next prime is 483823182967. The reversal of 483823182942 is 249281328384.

483823182942 is a `hidden beast` number, since 4 + 8 + 38 + 2 + 318 + 294 + 2 = 666.

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

It is a congruent number.

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, 19713883 + ... + 19738409.

It is an arithmetic number, because the mean of its divisors is an integer number (12314895600).

Almost surely, 2483823182942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483823182942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591114988800).

483823182942 is an abundant number, since it is smaller than the sum of its proper divisors (698406794658).

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

483823182942 is a wasteful number, since it uses less digits than its factorization.

483823182942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27579 (or 27562 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 483823182942 in words is "four hundred eighty-three billion, eight hundred twenty-three million, one hundred eighty-two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3019 3267 6038 6534 9057 18114 24527 27171 33209 49054 54342 66418 73581 81513 99627 147162 163026 199254 220743 269797 298881 365299 441486 539594 597762 662229 730598 809391 896643 1095897 1324458 1618782 1793286 2191794 2428173 2967767 3287691 4856346 5935534 6575382 7284519 8903301 9863073 14569038 17806602 19726146 26709903 53419806 74047013 80129709 148094026 160259418 222141039 444282078 666423117 814517143 1332846234 1629034286 1999269351 2443551429 3998538702 4887102858 7330654287 8959688573 14661308574 17919377146 21991962861 26879065719 43983925722 53758131438 80637197157 161274394314 241911591471 483823182942