Search a number
-
+
41507836416 = 293229383811
BaseRepresentation
bin100110101010000011…
…110101001000000000
310222010202022120012200
4212222003311020000
51140002001231131
631022440553200
72666413534224
oct465203651000
9128122276180
1041507836416
1116670100942
128064a82800
133bb6589667
14201a950784
15112e07d2e6
hex9aa0f5200

41507836416 has 240 divisors, whose sum is σ = 124402037760. Its totient is φ = 13307535360.

The previous prime is 41507836379. The next prime is 41507836417. The reversal of 41507836416 is 61463870514.

41507836416 is a `hidden beast` number, since 4 + 1 + 507 + 83 + 64 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (41507836417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51180651 + ... + 51181461.

It is an arithmetic number, because the mean of its divisors is an integer number (518341824).

Almost surely, 241507836416 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 41507836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62201018880).

41507836416 is an abundant number, since it is smaller than the sum of its proper divisors (82894201344).

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

41507836416 is a wasteful number, since it uses less digits than its factorization.

41507836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41507836416 in words is "forty-one billion, five hundred seven million, eight hundred thirty-six thousand, four hundred sixteen".