Search a number
-
+
41481773996544 = 29347319314951
BaseRepresentation
bin10010110111010001110100…
…11001110101101000000000
312102212121201011010020120000
421123220322121311220000
520414114133120342134
6224120244111320000
711510650013151000
oct1133507231655000
9172777634106500
1041481773996544
1112243359aa2292
12479b542220000
131a1b9399c062b
14a35a2b2c8000
154be081e68e99
hex25ba3a675a00

41481773996544 has 1600 divisors, whose sum is σ = 156921194496000. Its totient is φ = 10863756288000.

The previous prime is 41481773996527. The next prime is 41481773996557. The reversal of 41481773996544 is 44569937718414.

41481773996544 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 1 + 7 + 73 + 9 + 9 + 6 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8378461269 + ... + 8378466219.

It is an arithmetic number, because the mean of its divisors is an integer number (98075746560).

Almost surely, 241481773996544 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 41481773996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78460597248000).

41481773996544 is an abundant number, since it is smaller than the sum of its proper divisors (115439420499456).

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

41481773996544 is an equidigital number, since it uses as much as digits as its factorization.

41481773996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5013 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 41481773996544 in words is "forty-one trillion, four hundred eighty-one billion, seven hundred seventy-three million, nine hundred ninety-six thousand, five hundred forty-four".