Search a number
-
+
41532311041632 = 253217232917897109
BaseRepresentation
bin10010111000101111111101…
…01001010111011001100000
312110001110011011111010112200
421130113332221113121200
520420431133111313012
6224155402535453200
711514416246020605
oct1134277651273140
9173043134433480
1041532311041632
1112262832924254
1247a92a6b27200
131a23631ab5cc8
14a382630946ac
154c053da433dc
hex25c5fea57660

41532311041632 has 576 divisors, whose sum is σ = 135086371056000. Its totient is φ = 12025049186304.

The previous prime is 41532311041619. The next prime is 41532311041643. The reversal of 41532311041632 is 23614011323514.

41532311041632 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 2 + 3 + 1 + 10 + 4 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5842212094 + ... + 5842219202.

It is an arithmetic number, because the mean of its divisors is an integer number (234524949750).

Almost surely, 241532311041632 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 41532311041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67543185528000).

41532311041632 is an abundant number, since it is smaller than the sum of its proper divisors (93554060014368).

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

41532311041632 is a wasteful number, since it uses less digits than its factorization.

41532311041632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8972 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 41532311041632 in words is "forty-one trillion, five hundred thirty-two billion, three hundred eleven million, forty-one thousand, six hundred thirty-two".