Search a number
-
+
12018511109808 = 243572331896959
BaseRepresentation
bin1010111011100100011100…
…0101011101111010110000
31120112221212200222220200000
42232321013011131322300
53033402402321003213
641321121111230000
72350210623602460
oct256710705357260
946487780886600
1012018511109808
113914027221665
121421327078300
13692457794cb8
142d79b0253ba0
1515c9680d8c73
hexaee4715deb0

12018511109808 has 960 divisors, whose sum is σ = 43427620454400. Its totient is φ = 3142442096640.

The previous prime is 12018511109723. The next prime is 12018511109819. The reversal of 12018511109808 is 80890111581021.

12018511109808 is a `hidden beast` number, since 1 + 20 + 1 + 8 + 511 + 109 + 8 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1727042233 + ... + 1727049191.

It is an arithmetic number, because the mean of its divisors is an integer number (45237104640).

Almost surely, 212018511109808 is an apocalyptic number.

12018511109808 is a gapful number since it is divisible by the number (18) 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 12018511109808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21713810227200).

12018511109808 is an abundant number, since it is smaller than the sum of its proper divisors (31409109344592).

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

12018511109808 is a wasteful number, since it uses less digits than its factorization.

12018511109808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 45.

The spelling of 12018511109808 in words is "twelve trillion, eighteen billion, five hundred eleven million, one hundred nine thousand, eight hundred eight".