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23481922464 = 253371113191429
BaseRepresentation
bin10101110111101000…
…011011001110100000
32020121111101020221000
4111313220123032200
5341042333004324
614442031032000
71460622022230
oct256750331640
966544336830
1023481922464
119a5aa299a0
12467406b600
1322a2b84ba0
1411ca8d9cc0
159267a69c9
hex577a1b3a0

23481922464 has 768 divisors, whose sum is σ = 96864768000. Its totient is φ = 5329981440.

The previous prime is 23481922463. The next prime is 23481922481. The reversal of 23481922464 is 46422918432.

23481922464 is a `hidden beast` number, since 2 + 3 + 481 + 92 + 24 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23481922463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16431702 + ... + 16433130.

It is an arithmetic number, because the mean of its divisors is an integer number (126126000).

Almost surely, 223481922464 is an apocalyptic number.

23481922464 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 23481922464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384000).

23481922464 is an abundant number, since it is smaller than the sum of its proper divisors (73382845536).

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

23481922464 is a wasteful number, since it uses less digits than its factorization.

23481922464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1484 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 23481922464 in words is "twenty-three billion, four hundred eighty-one million, nine hundred twenty-two thousand, four hundred sixty-four".