Search a number
-
+
5894575889664 = 283731131211311
BaseRepresentation
bin101010111000111000000…
…0110100001110100000000
3202212111221010110212002010
41111301300012201310000
51233034042411432124
620311533014252520
71145604041235000
oct125616006416400
922774833425063
105894575889664
11197296a466a40
127b24a9657140
13339b18b8ac17
1416542862c000
15a34e896e529
hex55c701a1d00

5894575889664 has 1152 divisors, whose sum is σ = 20766464409600. Its totient is φ = 1469905920000.

The previous prime is 5894575889663. The next prime is 5894575889711. The reversal of 5894575889664 is 4669885754985.

It is a Harshad number since it is a multiple of its sum of digits (84).

Its product of digits (20901888000) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5894575889663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18953620069 + ... + 18953620379.

It is an arithmetic number, because the mean of its divisors is an integer number (18026444800).

Almost surely, 25894575889664 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 5894575889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10383232204800).

5894575889664 is an abundant number, since it is smaller than the sum of its proper divisors (14871888519936).

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

5894575889664 is a wasteful number, since it uses less digits than its factorization.

5894575889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 576 counting only the distinct ones).

The product of its digits is 20901888000, while the sum is 84.

The spelling of 5894575889664 in words is "five trillion, eight hundred ninety-four billion, five hundred seventy-five million, eight hundred eighty-nine thousand, six hundred sixty-four".