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499983006880 = 25573739730391
BaseRepresentation
bin1110100011010010100…
…11110011110010100000
31202210112200020101001201
413101221103303302200
531142431122210010
61021404455010544
751060021302620
oct7215123636240
91683480211051
10499983006880
111830504112a5
1280a97369a54
13381c077b186
141a2b0c7c880
15d0143c823a
hex74694f3ca0

499983006880 has 192 divisors, whose sum is σ = 1389977390592. Its totient is φ = 166364098560.

The previous prime is 499983006877. The next prime is 499983006911. The reversal of 499983006880 is 88600389994.

It is a happy number.

It is a super-2 number, since 2×4999830068802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16436485 + ... + 16466875.

It is an arithmetic number, because the mean of its divisors is an integer number (7239465576).

Almost surely, 2499983006880 is an apocalyptic number.

499983006880 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 499983006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694988695296).

499983006880 is an abundant number, since it is smaller than the sum of its proper divisors (889994383712).

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

499983006880 is a wasteful number, since it uses less digits than its factorization.

499983006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30847 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

The spelling of 499983006880 in words is "four hundred ninety-nine billion, nine hundred eighty-three million, six thousand, eight hundred eighty".