Search a number
-
+
18856985075712 = 21333731392879
BaseRepresentation
bin1000100100110011110111…
…11001011010000000000000
32110202201011201020011211000
410102121323321122000000
54432423101134410322
6104034440201252000
73654241445331540
oct422317371320000
973681151204730
1018856985075712
116010225524843
12214673a194000
13a6a28a947954
1449297c017320
1522a7a7dac3ac
hex11267be5a000

18856985075712 has 448 divisors, whose sum is σ = 65910303129600. Its totient is φ = 5213899653120.

The previous prime is 18856985075711. The next prime is 18856985075777. The reversal of 18856985075712 is 21757058965881.

18856985075712 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 69 + 8 + 507 + 57 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×188569850757122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (18856985075711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47800489 + ... + 48193367.

Almost surely, 218856985075712 is an apocalyptic number.

18856985075712 is a gapful number since it is divisible by the number (12) 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 18856985075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32955151564800).

18856985075712 is an abundant number, since it is smaller than the sum of its proper divisors (47053318053888).

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

18856985075712 is an equidigital number, since it uses as much as digits as its factorization.

18856985075712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392952 (or 392922 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 72.

The spelling of 18856985075712 in words is "eighteen trillion, eight hundred fifty-six billion, nine hundred eighty-five million, seventy-five thousand, seven hundred twelve".