Search a number
-
+
41725863936 = 211336171223
BaseRepresentation
bin100110110111000011…
…100010100000000000
310222200221120111202000
4212313003202200000
51140423310121221
631100230024000
73005001664041
oct466703424000
9128627514660
1041725863936
1116772187179
128105aa8000
133c1c7b6323
14203b8a68c8
151143298e26
hex9b70e2800

41725863936 has 192 divisors, whose sum is σ = 123903561600. Its totient is φ = 13874724864.

The previous prime is 41725863899. The next prime is 41725863943. The reversal of 41725863936 is 63936852714.

41725863936 is a `hidden beast` number, since 4 + 172 + 5 + 86 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34117021 + ... + 34118243.

It is an arithmetic number, because the mean of its divisors is an integer number (645331050).

Almost surely, 241725863936 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 41725863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61951780800).

41725863936 is an abundant number, since it is smaller than the sum of its proper divisors (82177697664).

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

41725863936 is a wasteful number, since it uses less digits than its factorization.

41725863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1845 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 41725863936 in words is "forty-one billion, seven hundred twenty-five million, eight hundred sixty-three thousand, nine hundred thirty-six".