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499999999968 = 2532721719432551
BaseRepresentation
bin1110100011010100101…
…00101000011111100000
31202210120212012201012100
413101222110220133200
531142444444444333
61021410303130400
751060315606300
oct7215224503740
91683525181170
10499999999968
11183059a68477
1280aa0ba3a00
13381c414aa61
141a2b3223600
15d015b33213
hex746a5287e0

499999999968 has 864 divisors, whose sum is σ = 1887098653440. Its totient is φ = 124366233600.

The previous prime is 499999999943. The next prime is 499999999979. The reversal of 499999999968 is 869999999994.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196000293 + ... + 196002843.

It is an arithmetic number, because the mean of its divisors is an integer number (2184141960).

Almost surely, 2499999999968 is an apocalyptic number.

499999999968 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 499999999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943549326720).

499999999968 is an abundant number, since it is smaller than the sum of its proper divisors (1387098653472).

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

499999999968 is a wasteful number, since it uses less digits than its factorization.

499999999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2642 counting only the distinct ones).

The product of its digits is 74384733888, while the sum is 99.

The spelling of 499999999968 in words is "four hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-eight".