Search a number
-
+
113782845312 = 273332923277
BaseRepresentation
bin110100111110111111…
…1000110111110000000
3101212200201111102121000
41221331333012332000
53331011402022222
6124134321132000
711135434140663
oct1517577067600
9355621442530
10113782845312
11442894a4854
121a07578a000
13a964139006
14571576b6da
152e5e2759ac
hex1a7dfc6f80

113782845312 has 64 divisors (see below), whose sum is σ = 335817435600. Its totient is φ = 37927613952.

The previous prime is 113782845311. The next prime is 113782845347. The reversal of 113782845312 is 213548287311.

113782845312 is a `hidden beast` number, since 1 + 1 + 37 + 8 + 2 + 84 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113782845311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16458183 + ... + 16465094.

Almost surely, 2113782845312 is an apocalyptic number.

113782845312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113782845312 is an abundant number, since it is smaller than the sum of its proper divisors (222034590288).

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

113782845312 is an equidigital number, since it uses as much as digits as its factorization.

113782845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32923300 (or 32923282 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 113782845312 in words is "one hundred thirteen billion, seven hundred eighty-two million, eight hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 32923277 65846554 98769831 131693108 197539662 263386216 296309493 395079324 526772432 592618986 790158648 888928479 1053544864 1185237972 1580317296 1777856958 2107089728 2370475944 3160634592 3555713916 4214179456 4740951888 6321269184 7111427832 9481903776 12642538368 14222855664 18963807552 28445711328 37927615104 56891422656 113782845312