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23982331464 = 23327213796619
BaseRepresentation
bin10110010101011101…
…010101011001001000
32021220100222200000200
4112111131111121020
5343103434101324
615003424332200
71506206311500
oct262535253110
967810880020
1023982331464
11a197445653
124793774060
1323527511a0
14123715aa00
159556a0ec9
hex595755648

23982331464 has 288 divisors, whose sum is σ = 82411056000. Its totient is φ = 6244003584.

The previous prime is 23982331459. The next prime is 23982331481. The reversal of 23982331464 is 46413328932.

23982331464 is a `hidden beast` number, since 239 + 82 + 331 + 4 + 6 + 4 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3619947 + ... + 3626565.

It is an arithmetic number, because the mean of its divisors is an integer number (286149500).

Almost surely, 223982331464 is an apocalyptic number.

23982331464 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 23982331464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41205528000).

23982331464 is an abundant number, since it is smaller than the sum of its proper divisors (58428724536).

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

23982331464 is a wasteful number, since it uses less digits than its factorization.

23982331464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737 (or 6723 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 23982331464 in words is "twenty-three billion, nine hundred eighty-two million, three hundred thirty-one thousand, four hundred sixty-four".