Search a number
-
+
482664002664 = 2334322310631973
BaseRepresentation
bin1110000011000010000…
…01000011010001101000
31201010211200110210122010
413001201001003101220
530401443441041124
61005422140355520
746604602221144
oct7014101032150
91633750423563
10482664002664
11176773279078
1279663245ba0
1336690664b9c
141950aa80224
15c84dbdb529
hex7061043468

482664002664 has 128 divisors (see below), whose sum is σ = 1242054696960. Its totient is φ = 156215340288.

The previous prime is 482664002657. The next prime is 482664002677. The reversal of 482664002664 is 466200466284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244633582 + ... + 244635554.

It is an arithmetic number, because the mean of its divisors is an integer number (9703552320).

Almost surely, 2482664002664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482664002664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621027348480).

482664002664 is an abundant number, since it is smaller than the sum of its proper divisors (759390694296).

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

482664002664 is a wasteful number, since it uses less digits than its factorization.

482664002664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 482664002664 in words is "four hundred eighty-two billion, six hundred sixty-four million, two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 223 258 344 446 516 669 892 1032 1063 1338 1784 1973 2126 2676 3189 3946 4252 5352 5919 6378 7892 8504 9589 11838 12756 15784 19178 23676 25512 28767 38356 45709 47352 57534 76712 84839 91418 115068 137127 169678 182836 230136 237049 254517 274254 339356 365672 439979 474098 509034 548508 678712 711147 879958 948196 1018068 1097016 1319937 1422294 1759916 1896392 2036136 2097299 2639874 2844588 3519832 4194598 5279748 5689176 6291897 8389196 10193107 10559496 12583794 16778392 18919097 20386214 25167588 30579321 37838194 40772428 50335176 56757291 61158642 75676388 81544856 90183857 113514582 122317284 151352776 180367714 227029164 244634568 270551571 360735428 454058328 467697677 541103142 721470856 935395354 1082206284 1403093031 1870790708 2164412568 2806186062 3741581416 5612372124 11224744248 20111000111 40222000222 60333000333 80444000444 120666000666 160888000888 241332001332 482664002664