Search a number
-
+
23882469696 = 2632431019547
BaseRepresentation
bin10110001111100000…
…011001000101000000
32021122102002011102200
4112033200121011000
5342402403012241
614545500113200
71503554433351
oct261740310500
967572064380
1023882469696
11a146038a68
124766235800
132337b58597
141227ba3d28
1594ba274b6
hex58f819140

23882469696 has 168 divisors, whose sum is σ = 70747701024. Its totient is φ = 7697894400.

The previous prime is 23882469679. The next prime is 23882469733. The reversal of 23882469696 is 69696428832.

23882469696 is a `hidden beast` number, since 2 + 3 + 8 + 82 + 469 + 6 + 96 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2496795 + ... + 2506341.

It is an arithmetic number, because the mean of its divisors is an integer number (421117268).

Almost surely, 223882469696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23882469696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35373850512).

23882469696 is an abundant number, since it is smaller than the sum of its proper divisors (46865231328).

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

23882469696 is a wasteful number, since it uses less digits than its factorization.

23882469696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9696 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 23882469696 in words is "twenty-three billion, eight hundred eighty-two million, four hundred sixty-nine thousand, six hundred ninety-six".