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24130980864 = 21035372621
BaseRepresentation
bin10110011110010100…
…011000110000000000
32022021201200211200000
4112132110120300000
5343410012341424
615030254400000
71512662644614
oct263624306000
968251624600
1024130980864
11a2633450a1
124815500000
132377499403
14124cbb3344
159637653c9
hex59e518c00

24130980864 has 264 divisors, whose sum is σ = 74239580688. Its totient is φ = 7823278080.

The previous prime is 24130980859. The next prime is 24130980917. The reversal of 24130980864 is 46808903142.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9205474 + ... + 9208094.

Almost surely, 224130980864 is an apocalyptic number.

24130980864 is a gapful number since it is divisible by the number (24) 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 24130980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119790344).

24130980864 is an abundant number, since it is smaller than the sum of its proper divisors (50108599824).

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

24130980864 is an equidigital number, since it uses as much as digits as its factorization.

24130980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 24130980864 in words is "twenty-four billion, one hundred thirty million, nine hundred eighty thousand, eight hundred sixty-four".