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23531509440 = 2632529281747
BaseRepresentation
bin10101111010100101…
…100101011011000000
32020201221200112110200
4111322211211123000
5341143031300230
614451001525200
71462063346535
oct257245453300
966657615420
1023531509440
119a85a1836a
1246887a3800
1322b02272aa
1411d3326d8c
1592acee160
hex57a9656c0

23531509440 has 168 divisors, whose sum is σ = 83729870640. Its totient is φ = 6058665984.

The previous prime is 23531509439. The next prime is 23531509459. The reversal of 23531509440 is 4490513532.

It is a super-2 number, since 2×235315094402 (a number of 22 digits) contains 22 as substring.

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 = 23531509395 and 23531509404.

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, 57354 + ... + 224393.

Almost surely, 223531509440 is an apocalyptic number.

23531509440 is a gapful number since it is divisible by the number (20) 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 23531509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41864935320).

23531509440 is an abundant number, since it is smaller than the sum of its proper divisors (60198361200).

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

23531509440 is a wasteful number, since it uses less digits than its factorization.

23531509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281799 (or 281786 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23531509440 in words is "twenty-three billion, five hundred thirty-one million, five hundred nine thousand, four hundred forty".