Search a number
-
+
40893125616 = 24337259137239
BaseRepresentation
bin100110000101011010…
…111001001111110000
310220112220122000112000
4212011122321033300
51132222120004431
630441441334000
72645240555400
oct460532711760
9126486560460
1040893125616
1116385115592
127b13037300
133b1910cc65
141d9d058800
1510e51069e6
hex9856b93f0

40893125616 has 480 divisors, whose sum is σ = 140455296000. Its totient is φ = 11354176512.

The previous prime is 40893125561. The next prime is 40893125627. The reversal of 40893125616 is 61652139804.

40893125616 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 3 + 1 + 25 + 616 = 666.

40893125616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 171100825 + ... + 171101063.

It is an arithmetic number, because the mean of its divisors is an integer number (292615200).

Almost surely, 240893125616 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 40893125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648000).

40893125616 is an abundant number, since it is smaller than the sum of its proper divisors (99562170384).

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

40893125616 is a wasteful number, since it uses less digits than its factorization.

40893125616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40893125616 in words is "forty billion, eight hundred ninety-three million, one hundred twenty-five thousand, six hundred sixteen".