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23332561344 = 2632735231061
BaseRepresentation
bin10101101110101110…
…101010000111000000
32020020002022220222200
4111232232222013000
5340241113430334
614415133433200
71454126333121
oct255656520700
966202286880
1023332561344
119993693754
12463203b800
13227ac4aa21
1411b4b3a048
15918601799
hex56ebaa1c0

23332561344 has 168 divisors, whose sum is σ = 67988364912. Its totient is φ = 7649095680.

The previous prime is 23332561333. The next prime is 23332561361. The reversal of 23332561344 is 44316523332.

23332561344 is a `hidden beast` number, since 2 + 3 + 3 + 32 + 5 + 613 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23332561299 and 23332561308.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21990574 + ... + 21991634.

Almost surely, 223332561344 is an apocalyptic number.

23332561344 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 23332561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33994182456).

23332561344 is an abundant number, since it is smaller than the sum of its proper divisors (44655803568).

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

23332561344 is a wasteful number, since it uses less digits than its factorization.

23332561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The spelling of 23332561344 in words is "twenty-three billion, three hundred thirty-two million, five hundred sixty-one thousand, three hundred forty-four".