Search a number
-
+
41986012500 = 223355314013
BaseRepresentation
bin100111000110100011…
…111011010101010100
311000101002002102111000
4213012203323111110
51141441404400000
631142121543300
73014311134465
oct470643732524
9130332072430
1041986012500
1116896011693
128179044b30
133c616700a3
142064264d6c
15115b035000
hex9c68fb554

41986012500 has 288 divisors, whose sum is σ = 140481008640. Its totient is φ = 10832400000.

The previous prime is 41986012493. The next prime is 41986012517. The reversal of 41986012500 is 521068914.

41986012500 is a `hidden beast` number, since 4 + 1 + 98 + 60 + 1 + 2 + 500 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10460494 + ... + 10464506.

It is an arithmetic number, because the mean of its divisors is an integer number (487781280).

Almost surely, 241986012500 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 41986012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70240504320).

41986012500 is an abundant number, since it is smaller than the sum of its proper divisors (98494996140).

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

41986012500 is a wasteful number, since it uses less digits than its factorization.

41986012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 41986012500 in words is "forty-one billion, nine hundred eighty-six million, twelve thousand, five hundred".