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23484233448 = 233813127271
BaseRepresentation
bin10101110111110001…
…001111011011101000
32020121122201200000000
4111313301033123220
5341043430432243
614442152343000
71460650455624
oct256761173350
966548650000
1023484233448
119a612681a5
1246749a4a60
1322a34b3a30
1411cad3c184
15926ab15d3
hex577c4f6e8

23484233448 has 288 divisors, whose sum is σ = 71951093760. Its totient is φ = 7142567040.

The previous prime is 23484233441. The next prime is 23484233459. The reversal of 23484233448 is 84433248432.

23484233448 is a `hidden beast` number, since 234 + 8 + 42 + 334 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23484233441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86657553 + ... + 86657823.

Almost surely, 223484233448 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 23484233448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35975546880).

23484233448 is an abundant number, since it is smaller than the sum of its proper divisors (48466860312).

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

23484233448 is a wasteful number, since it uses less digits than its factorization.

23484233448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 416 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 23484233448 in words is "twenty-three billion, four hundred eighty-four million, two hundred thirty-three thousand, four hundred forty-eight".