Search a number
-
+
93860812336041 = 3232293932
BaseRepresentation
bin10101010101110110101100…
…011000001010101110101001
3110022100000011101122001012100
4111111312230120022232221
544300303420424223131
6531343021213004013
725525135300044312
oct2525665430125651
9408300141561170
1093860812336041
11279a8168687793
12a63aa30183609
13404b062605c9a
141926c5d651609
15acb8060c77e6
hex555dac60aba9

93860812336041 has 9 divisors (see below), whose sum is σ = 135576770911959. Its totient is φ = 62573855514336.

The previous prime is 93860812336021. The next prime is 93860812336097. The reversal of 93860812336041 is 14063321806839.

The square root of 93860812336041 is 9688179.

It is a perfect power (a square), and thus also a powerful number.

93860812336041 is a `hidden beast` number, since 9 + 3 + 8 + 6 + 0 + 8 + 1 + 23 + 3 + 604 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74733345074025 + 19127467262016 = 8644845^2 + 4373496^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 93860812336041 - 221 = 93860810238889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93860812336021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27449841 + ... + 30679233.

Almost surely, 293860812336041 is an apocalyptic number.

93860812336041 is the 9688179-th square number.

93860812336041 is the 4844090-th centered octagonal number.

It is an amenable number.

93860812336041 is a deficient number, since it is larger than the sum of its proper divisors (41715958575918).

93860812336041 is an frugal number, since it uses more digits than its factorization.

93860812336041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458792 (or 3229396 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 93860812336041 in words is "ninety-three trillion, eight hundred sixty billion, eight hundred twelve million, three hundred thirty-six thousand, forty-one".

Divisors: 1 3 9 3229393 9688179 29064537 10428979148449 31286937445347 93860812336041