Search a number
-
+
5841125841024 = 27342340076113
BaseRepresentation
bin101010011111111111000…
…1110110001100010000000
3202200101222002210001110000
41110333332032301202000
51231200111203403044
620231213130240000
71142002354305255
oct124777616614200
922611862701400
105841125841024
111952231294321
127a4071286000
13334a7b420ac6
141629d7a2342c
15a1e1b287d69
hex54ffe3b1880

5841125841024 has 320 divisors, whose sum is σ = 18146377434240. Its totient is φ = 1861618581504.

The previous prime is 5841125840983. The next prime is 5841125841029. The reversal of 5841125841024 is 4201485211485.

5841125841024 is a `hidden beast` number, since 5 + 8 + 41 + 1 + 2 + 584 + 1 + 0 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (5841125841029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 955522192 + ... + 955528304.

It is an arithmetic number, because the mean of its divisors is an integer number (56707429482).

Almost surely, 25841125841024 is an apocalyptic number.

5841125841024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5841125841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073188717120).

5841125841024 is an abundant number, since it is smaller than the sum of its proper divisors (12305251593216).

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

5841125841024 is a wasteful number, since it uses less digits than its factorization.

5841125841024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10169 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 5841125841024 in words is "five trillion, eight hundred forty-one billion, one hundred twenty-five million, eight hundred forty-one thousand, twenty-four".