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482900912640 = 2932541511201
BaseRepresentation
bin1110000011011110010…
…00110010101000000000
31201011110012021002000200
413001233020302220000
530402440113201030
61005501442245200
746613510013606
oct7015710625000
91634405232020
10482900912640
11176884a81043
127970a656800
13366ca7733c3
141953030d876
15c8648d6d60
hex706f232a00

482900912640 has 240 divisors, whose sum is σ = 1713215800296. Its totient is φ = 125632512000.

The previous prime is 482900912621. The next prime is 482900912647. The reversal of 482900912640 is 46219009284.

482900912640 is a `hidden beast` number, since 482 + 9 + 0 + 0 + 9 + 126 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241167423744 + 241733488896 = 491088^2 + 491664^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482900912647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689040 + ... + 1200240.

Almost surely, 2482900912640 is an apocalyptic number.

482900912640 is a gapful number since it is divisible by the number (40) 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 482900912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856607900148).

482900912640 is an abundant number, since it is smaller than the sum of its proper divisors (1230314887656).

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

482900912640 is a wasteful number, since it uses less digits than its factorization.

482900912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511271 (or 511252 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 482900912640 in words is "four hundred eighty-two billion, nine hundred million, nine hundred twelve thousand, six hundred forty".