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23824442832 = 243496342559
BaseRepresentation
bin10110001100000011…
…000010010111010000
32021111100220002112120
4112030003002113100
5342243024132312
614540024254240
71502251265001
oct261403022720
967440802476
1023824442832
11a116305583
12474a911380
132328b1c768
1412201bb1a8
159468b428c
hex58c0c25d0

23824442832 has 20 divisors (see below), whose sum is σ = 61546477440. Its totient is φ = 7941480928.

The previous prime is 23824442813. The next prime is 23824442869.

23824442832 is nontrivially palindromic in base 10.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248171232 + ... + 248171327.

It is an arithmetic number, because the mean of its divisors is an integer number (3077323872).

Almost surely, 223824442832 is an apocalyptic number.

It is an amenable number.

23824442832 is an abundant number, since it is smaller than the sum of its proper divisors (37722034608).

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

23824442832 is a wasteful number, since it uses less digits than its factorization.

23824442832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496342570 (or 496342564 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 23824442832 in words is "twenty-three billion, eight hundred twenty-four million, four hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 496342559 992685118 1489027677 1985370236 2978055354 3970740472 5956110708 7941480944 11912221416 23824442832