Search a number
-
+
241065177696 = 25327243339451
BaseRepresentation
bin1110000010000010011…
…0101011001001100000
3212001020020122212002200
43200200212223021200
512422200141141241
6302424355213200
723262551126100
oct3404046531140
9761206585080
10241065177696
119326500aa92
123a8782a7200
1319969c7c4a5
14b94bd25200
15640d7144b6
hex38209ab260

241065177696 has 216 divisors, whose sum is σ = 799314168744. Its totient is φ = 68714956800.

The previous prime is 241065177677. The next prime is 241065177739. The reversal of 241065177696 is 696771560142.

241065177696 is a `hidden beast` number, since 2 + 410 + 65 + 17 + 76 + 96 = 666.

It is a super-2 number, since 2×2410651776962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6090771 + ... + 6130221.

It is an arithmetic number, because the mean of its divisors is an integer number (3700528559).

Almost surely, 2241065177696 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 241065177696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399657084372).

241065177696 is an abundant number, since it is smaller than the sum of its proper divisors (558248991048).

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

241065177696 is a wasteful number, since it uses less digits than its factorization.

241065177696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39914 (or 39896 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 241065177696 in words is "two hundred forty-one billion, sixty-five million, one hundred seventy-seven thousand, six hundred ninety-six".