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23483420640 = 253359756041
BaseRepresentation
bin10101110111101110…
…001000111111100000
32020121121012101001000
4111313232020333200
5341043223430030
614442123112000
71460640532131
oct256756107740
966547171030
1023483420640
119a60862559
124674672600
1322a328aa94
1411caba9c88
159269a0860
hex577b88fe0

23483420640 has 192 divisors, whose sum is σ = 83040793920. Its totient is φ = 6197575680.

The previous prime is 23483420627. The next prime is 23483420641. The reversal of 23483420640 is 4602438432.

23483420640 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 3 + 4 + 2 + 0 + 640 = 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 = 23483420595 and 23483420604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23483420641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391020 + ... + 447060.

It is an arithmetic number, because the mean of its divisors is an integer number (432504135).

Almost surely, 223483420640 is an apocalyptic number.

23483420640 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 23483420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41520396960).

23483420640 is an abundant number, since it is smaller than the sum of its proper divisors (59557373280).

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

23483420640 is a wasteful number, since it uses less digits than its factorization.

23483420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56162 (or 56148 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 23483420640 in words is "twenty-three billion, four hundred eighty-three million, four hundred twenty thousand, six hundred forty".