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23158544640 = 2835721167167
BaseRepresentation
bin10101100100010110…
…110101100100000000
32012202221212221221120
4111210112311210000
5334412041412030
614345555552240
71446614244600
oct254426654400
965687787846
1023158544640
1199044383a0
1245a38bb680
132250b9036a
14119999cc00
159081cb010
hex5645b5900

23158544640 has 864 divisors, whose sum is σ = 95831092224. Its totient is φ = 4711956480.

The previous prime is 23158544609. The next prime is 23158544641. The reversal of 23158544640 is 4644585132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 23158544592 and 23158544601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23158544641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138673837 + ... + 138674003.

It is an arithmetic number, because the mean of its divisors is an integer number (110915616).

Almost surely, 223158544640 is an apocalyptic number.

23158544640 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 23158544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47915546112).

23158544640 is an abundant number, since it is smaller than the sum of its proper divisors (72672547584).

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

23158544640 is a wasteful number, since it uses less digits than its factorization.

23158544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 23158544640 in words is "twenty-three billion, one hundred fifty-eight million, five hundred forty-four thousand, six hundred forty".