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482430402048 = 29371719532621
BaseRepresentation
bin1110000010100110001…
…01111011111000000000
31201010020101220122211110
413001103011323320000
530401004140331143
61005343033443320
746566034520610
oct7012305737000
91633211818743
10482430402048
11176663426511
12795b8b70540
1336654144a7a
14194c7a32a40
15c838446533
hex705317be00

482430402048 has 640 divisors, whose sum is σ = 1668608916480. Its totient is φ = 120536432640.

The previous prime is 482430402043. The next prime is 482430402151. The reversal of 482430402048 is 840204034284.

It is a junction number, because it is equal to n+sod(n) for n = 482430401997 and 482430402015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482430402043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184062178 + ... + 184064798.

It is an arithmetic number, because the mean of its divisors is an integer number (2607201432).

Almost surely, 2482430402048 is an apocalyptic number.

482430402048 is a gapful number since it is divisible by the number (48) 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 482430402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834304458240).

482430402048 is an abundant number, since it is smaller than the sum of its proper divisors (1186178514432).

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

482430402048 is a wasteful number, since it uses less digits than its factorization.

482430402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 482430402048 in words is "four hundred eighty-two billion, four hundred thirty million, four hundred two thousand, forty-eight".