Search a number
-
+
94529763068112 = 243411312711094583
BaseRepresentation
bin10101011111100101101100…
…111100101100100011010000
3110101200221211201110012120000
4111133211230330230203100
544342233423321134422
6533014212412450000
725624356436332651
oct2537455474544320
9411627751405500
1094529763068112
1128135935958879
12a728602479900
1340991701b0828
14194b39d017528
15adde09391cac
hex55f96cf2c8d0

94529763068112 has 400 divisors, whose sum is σ = 278502740398080. Its totient is φ = 30950463688704.

The previous prime is 94529763068051. The next prime is 94529763068173. The reversal of 94529763068112 is 21186036792549.

94529763068112 is a `hidden beast` number, since 9 + 4 + 529 + 7 + 6 + 30 + 68 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (94529763068051) and next prime (94529763068173).

It is a super-2 number, since 2×945297630681122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 94529763068112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20626173373 + ... + 20626177955.

It is a 1-persistent number, because it is pandigital, but 2⋅94529763068112 = 189059526136224 is not.

Almost surely, 294529763068112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94529763068112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139251370199040).

94529763068112 is an abundant number, since it is smaller than the sum of its proper divisors (183972977329968).

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

94529763068112 is a wasteful number, since it uses less digits than its factorization.

94529763068112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5952 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 94529763068112 in words is "ninety-four trillion, five hundred twenty-nine billion, seven hundred sixty-three million, sixty-eight thousand, one hundred twelve".