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23552096832 = 26321179211223
BaseRepresentation
bin10101111011110100…
…000111101001000000
32020210101102111001200
4111323310013221000
5341213314044312
614453015101200
71462433343225
oct257364075100
966711374050
1023552096832
119a965a9a40
124693671800
1322b4584b94
1411d5d6594c
1592ca190dc
hex57bd07a40

23552096832 has 336 divisors, whose sum is σ = 75266580480. Its totient is φ = 6981811200.

The previous prime is 23552096723. The next prime is 23552096833. The reversal of 23552096832 is 23869025532.

23552096832 is a `hidden beast` number, since 2 + 3 + 5 + 520 + 96 + 8 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (23552096833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105614673 + ... + 105614895.

It is an arithmetic number, because the mean of its divisors is an integer number (224007680).

Almost surely, 223552096832 is an apocalyptic number.

23552096832 is a gapful number since it is divisible by the number (22) 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 23552096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37633290240).

23552096832 is an abundant number, since it is smaller than the sum of its proper divisors (51714483648).

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

23552096832 is a wasteful number, since it uses less digits than its factorization.

23552096832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 23552096832 in words is "twenty-three billion, five hundred fifty-two million, ninety-six thousand, eight hundred thirty-two".