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23525544240 = 243251137431867
BaseRepresentation
bin10101111010001110…
…110101000100110000
32020201112110110202100
4111322032311010300
5341140014403430
614450230020400
71461661553352
oct257216650460
966645413670
1023525544240
119a82613650
1246867a7700
1322abc190a3
1411d26130d2
1592a521960
hex57a3b5130

23525544240 has 480 divisors, whose sum is σ = 90625556736. Its totient is φ = 5417072640.

The previous prime is 23525544223. The next prime is 23525544247. The reversal of 23525544240 is 4244552532.

23525544240 is a `hidden beast` number, since 2 + 3 + 525 + 54 + 42 + 40 = 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 = 23525544195 and 23525544204.

It is not an unprimeable number, because it can be changed into a prime (23525544247) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12599787 + ... + 12601653.

Almost surely, 223525544240 is an apocalyptic number.

23525544240 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 23525544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45312778368).

23525544240 is an abundant number, since it is smaller than the sum of its proper divisors (67100012496).

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

23525544240 is a wasteful number, since it uses less digits than its factorization.

23525544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

It can be divided in two parts, 23525 and 544240, that added together give a palindrome (567765).

The spelling of 23525544240 in words is "twenty-three billion, five hundred twenty-five million, five hundred forty-four thousand, two hundred forty".