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83744256996 = 22362322332
BaseRepresentation
bin100110111111110001…
…0111111001111100100
322000011021121001000000
41031333202333033210
52333002012210441
6102245510021300
76023155303521
oct1157742771744
9260137531000
1083744256996
11325744a4854
1214291947830
137b87a82aba
1440a615a148
1522a20782b6
hex137f8bf3e4

83744256996 has 189 divisors, whose sum is σ = 230686976569. Its totient is φ = 26586470592.

The previous prime is 83744256941. The next prime is 83744256997. The reversal of 83744256996 is 69965244738.

The square root of 83744256996 is 289386.

It is a perfect power (a square), and thus also a powerful number.

83744256996 is a `hidden beast` number, since 8 + 374 + 4 + 256 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17006768100 + 66737488896 = 130410^2 + 258336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83744256997) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 359417296 + ... + 359417528.

Almost surely, 283744256996 is an apocalyptic number.

83744256996 is the 289386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83744256996

83744256996 is an abundant number, since it is smaller than the sum of its proper divisors (146942719573).

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

83744256996 is an equidigital number, since it uses as much as digits as its factorization.

83744256996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 261 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 83744256996 in words is "eighty-three billion, seven hundred forty-four million, two hundred fifty-six thousand, nine hundred ninety-six".