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18453795840 = 21034544497
BaseRepresentation
bin10001001011111011…
…101001010000000000
31202122002001221220000
4101023323221100000
5300243132431330
612251052520000
71222205451024
oct211373512000
952562057800
1018453795840
11790a760a47
1236b0180000
131981258c2c
14c70bd6384
15730146560
hex44bee9400

18453795840 has 220 divisors, whose sum is σ = 66129456756. Its totient is φ = 4920901632.

The previous prime is 18453795803. The next prime is 18453795853. The reversal of 18453795840 is 4859735481.

18453795840 is a `hidden beast` number, since 1 + 8 + 4 + 53 + 7 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9475854336 + 8977941504 = 97344^2 + 94752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 392472 + ... + 436968.

Almost surely, 218453795840 is an apocalyptic number.

18453795840 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 18453795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064728378).

18453795840 is an abundant number, since it is smaller than the sum of its proper divisors (47675660916).

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

18453795840 is an equidigital number, since it uses as much as digits as its factorization.

18453795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44534 (or 44507 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 18453795840 in words is "eighteen billion, four hundred fifty-three million, seven hundred ninety-five thousand, eight hundred forty".