Search a number
-
+
10041703056 = 24337111272377
BaseRepresentation
bin10010101101000100…
…00011101010010000
3221220211020100222000
421112202003222100
5131031133444211
64340232314000
7503562032130
oct112642035220
927824210860
1010041703056
114293309150
121b42b42900
13c4052c238
146b38daac0
153db899656
hex256883a90

10041703056 has 320 divisors, whose sum is σ = 36233871360. Its totient is φ = 2586608640.

The previous prime is 10041703043. The next prime is 10041703057. The reversal of 10041703056 is 65030714001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10041703057) 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 63 ways as a sum of consecutive naturals, for example, 4223340 + ... + 4225716.

It is an arithmetic number, because the mean of its divisors is an integer number (113230848).

Almost surely, 210041703056 is an apocalyptic number.

10041703056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041703056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116935680).

10041703056 is an abundant number, since it is smaller than the sum of its proper divisors (26192168304).

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

10041703056 is a wasteful number, since it uses less digits than its factorization.

10041703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10041703056 in words is "ten billion, forty-one million, seven hundred three thousand, fifty-six".