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18263024640 = 2103757233
BaseRepresentation
bin10001000000100011…
…111010010000000000
31202010210002210000000
4101000203322100000
5244400313242030
612220120000000
71214401101540
oct210043722000
952123083000
1018263024640
1178220017a3
123658300000
131950883473
14c53737320
1571d511860
hex4408fa400

18263024640 has 704 divisors, whose sum is σ = 75413445120. Its totient is φ = 4156489728.

The previous prime is 18263024579. The next prime is 18263024641. The reversal of 18263024640 is 4642036281.

18263024640 is a `hidden beast` number, since 1 + 8 + 2 + 6 + 3 + 0 + 2 + 4 + 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 = 18263024595 and 18263024604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18263024641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78381964 + ... + 78382196.

Almost surely, 218263024640 is an apocalyptic number.

18263024640 is a gapful number since it is divisible by the number (10) 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 18263024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37706722560).

18263024640 is an abundant number, since it is smaller than the sum of its proper divisors (57150420480).

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

18263024640 is an frugal number, since it uses more digits than its factorization.

18263024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 18263024640 in words is "eighteen billion, two hundred sixty-three million, twenty-four thousand, six hundred forty".