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8993491200 = 283252193809
BaseRepresentation
bin10000110000000110…
…11100100100000000
3212012202211200121200
420120003130210000
5121404313204300
64044225421200
7435603261651
oct103003344400
925182750550
108993491200
1138a5656061
1218aba9a800
13b04311835
146145dd528
15379843200
hex2180dc900

8993491200 has 324 divisors, whose sum is σ = 32360311620. Its totient is φ = 2382888960.

The previous prime is 8993491187. The next prime is 8993491253. The reversal of 8993491200 is 21943998.

It can be written as a sum of positive squares in 6 ways, for example, as 33732864 + 8959758336 = 5808^2 + 94656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11116396 + ... + 11117204.

It is an arithmetic number, because the mean of its divisors is an integer number (99877505).

Almost surely, 28993491200 is an apocalyptic number.

8993491200 is a gapful number since it is divisible by the number (80) 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 8993491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180155810).

8993491200 is an abundant number, since it is smaller than the sum of its proper divisors (23366820420).

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

8993491200 is a wasteful number, since it uses less digits than its factorization.

8993491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8993491200 is about 94834.0192125168. The cubic root of 8993491200 is about 2079.5822632495.

The spelling of 8993491200 in words is "eight billion, nine hundred ninety-three million, four hundred ninety-one thousand, two hundred".