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482164193232 = 243267243720507
BaseRepresentation
bin1110000010000110011…
…10011011011111010000
31201002112211222211222200
413001003032123133100
530344433013140412
61005300404003200
746556323006611
oct7010316333720
91632484884880
10482164193232
11176537131927
1279543990500
1336610c48767
14194a0537c08
15c81edae9dc
hex704339b7d0

482164193232 has 120 divisors (see below), whose sum is σ = 1370159003616. Its totient is φ = 158249887488.

The previous prime is 482164193213. The next prime is 482164193237. The reversal of 482164193232 is 232391461284.

482164193232 is a `hidden beast` number, since 482 + 1 + 64 + 1 + 93 + 23 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482164193237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23501923 + ... + 23522429.

Almost surely, 2482164193232 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 482164193232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685079501808).

482164193232 is an abundant number, since it is smaller than the sum of its proper divisors (887994810384).

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

482164193232 is a wasteful number, since it uses less digits than its factorization.

482164193232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23016 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 482164193232 in words is "four hundred eighty-two billion, one hundred sixty-four million, one hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 2437 3216 4824 4874 7311 9648 9748 14622 19496 20507 21933 29244 38992 41014 43866 58488 61521 82028 87732 116976 123042 163279 164056 175464 184563 246084 326558 328112 350928 369126 489837 492168 653116 738252 979674 984336 1306232 1373969 1469511 1476504 1959348 2612464 2747938 2939022 2953008 3918696 4121907 5495876 5878044 7837392 8243814 10991752 11756088 12365721 16487628 21983504 23512176 24731442 32975256 49462884 49975559 65950512 98925768 99951118 149926677 197851536 199902236 299853354 399804472 449780031 599706708 799608944 899560062 1199413416 1799120124 2398826832 3348362453 3598240248 6696724906 7196480496 10045087359 13393449812 20090174718 26786899624 30135262077 40180349436 53573799248 60270524154 80360698872 120541048308 160721397744 241082096616 482164193232