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482143913136 = 243323316167383
BaseRepresentation
bin1110000010000100000…
…01000100010010110000
31201002111102211111221000
413001002001010102300
530344412320210021
61005254401202000
746555655433144
oct7010201042260
91632442744830
10482143913136
11176526740116
1279539030300
13366099979c2
141949b979224
15c81d205b26
hex70420444b0

482143913136 has 640 divisors, whose sum is σ = 1541752750080. Its totient is φ = 143768908800.

The previous prime is 482143913099. The next prime is 482143913183. The reversal of 482143913136 is 631319341284.

482143913136 is a `hidden beast` number, since 4 + 82 + 1 + 439 + 1 + 3 + 136 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 482143913091 and 482143913100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1258861201 + ... + 1258861583.

It is an arithmetic number, because the mean of its divisors is an integer number (2408988672).

Almost surely, 2482143913136 is an apocalyptic number.

482143913136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482143913136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770876375040).

482143913136 is an abundant number, since it is smaller than the sum of its proper divisors (1059608836944).

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

482143913136 is a wasteful number, since it uses less digits than its factorization.

482143913136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 482143913136 in words is "four hundred eighty-two billion, one hundred forty-three million, nine hundred thirteen thousand, one hundred thirty-six".