Search a number
-
+
894168117150 = 23527112192953241
BaseRepresentation
bin11010000001100001001…
…00101010111110011110
310011111000010001201221020
431000300210222332132
5104122224014222100
61522435233545010
7121413214406430
oct15006044527636
93144003051836
10894168117150
1131523a655a00
12125367115166
1366420493659
14313c6a5a650
15183d55515a0
hexd03092af9e

894168117150 has 1152 divisors, whose sum is σ = 3103451366400. Its totient is φ = 166053888000.

The previous prime is 894168117133. The next prime is 894168117151. The reversal of 894168117150 is 51711861498.

It is a super-2 number, since 2×8941681171502 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 894168117093 and 894168117102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894168117151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3710241030 + ... + 3710241270.

It is an arithmetic number, because the mean of its divisors is an integer number (2693968200).

Almost surely, 2894168117150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894168117150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551725683200).

894168117150 is an abundant number, since it is smaller than the sum of its proper divisors (2209283249250).

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

894168117150 is a wasteful number, since it uses less digits than its factorization.

894168117150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 894168117150 in words is "eight hundred ninety-four billion, one hundred sixty-eight million, one hundred seventeen thousand, one hundred fifty".