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23328841536 = 26337111313487
BaseRepresentation
bin10101101110100000…
…011101111101000000
32020012211022221101000
4111232200131331000
5340234140412121
614414522012000
71454052611160
oct255640357500
966184287330
1023328841536
119991582a30
124630947000
13227a247860
1411b444c5a0
15918119526
hex56e81df40

23328841536 has 448 divisors, whose sum is σ = 92089589760. Its totient is φ = 5592913920.

The previous prime is 23328841531. The next prime is 23328841541. The reversal of 23328841536 is 63514882332.

23328841536 is a `hidden beast` number, since 2 + 3 + 32 + 8 + 84 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (23328841531) and next prime (23328841541).

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 23328841491 and 23328841500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23328841531) 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 63 ways as a sum of consecutive naturals, for example, 1722985 + ... + 1736471.

It is an arithmetic number, because the mean of its divisors is an integer number (205557120).

Almost surely, 223328841536 is an apocalyptic number.

23328841536 is a gapful number since it is divisible by the number (26) 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 23328841536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46044794880).

23328841536 is an abundant number, since it is smaller than the sum of its proper divisors (68760748224).

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

23328841536 is a wasteful number, since it uses less digits than its factorization.

23328841536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13523 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 23328841536 in words is "twenty-three billion, three hundred twenty-eight million, eight hundred forty-one thousand, five hundred thirty-six".