Search a number
-
+
91614745994112 = 273211173311284823
BaseRepresentation
bin10100110101001010111000…
…011001000010001110000000
3110000101021200011112212112200
4110311022320121002032000
544002003444433302422
6522503122220153200
725203642545123325
oct2465127031021600
9400337604485480
1091614745994112
11272116607a4240
12a337675098800
133c17305c46973
14188a26a994b4c
15a8d19a7ee2ac
hex5352b8642380

91614745994112 has 384 divisors, whose sum is σ = 305435145150720. Its totient is φ = 26050023014400.

The previous prime is 91614745994069. The next prime is 91614745994153. The reversal of 91614745994112 is 21149954741619.

It is a happy number.

91614745994112 is a `hidden beast` number, since 9 + 1 + 61 + 4 + 7 + 459 + 9 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×916147459941122 (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 91614745994112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70662933 + ... + 71947755.

It is an arithmetic number, because the mean of its divisors is an integer number (795404023830).

Almost surely, 291614745994112 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 91614745994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152717572575360).

91614745994112 is an abundant number, since it is smaller than the sum of its proper divisors (213820399156608).

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

91614745994112 is a wasteful number, since it uses less digits than its factorization.

91614745994112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285202 (or 1285187 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 91614745994112 in words is "ninety-one trillion, six hundred fourteen billion, seven hundred forty-five million, nine hundred ninety-four thousand, one hundred twelve".