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5841597113856 = 293273173791013
BaseRepresentation
bin101010100000001101001…
…0100100010011000000000
3202200110011221120012020100
41111000122110202120000
51231202042330120411
620231332003242400
71142020136124450
oct125003224423000
922613157505210
105841597113856
11195245330a5a9
127a4183079400
13334b24c5837a
14162a4045bd60
15a1e47829456
hex5501a522600

5841597113856 has 960 divisors, whose sum is σ = 20437069086720. Its totient is φ = 1571344220160.

The previous prime is 5841597113851. The next prime is 5841597113921. The reversal of 5841597113856 is 6583117951485.

It is a happy number.

5841597113856 is a `hidden beast` number, since 5 + 8 + 4 + 1 + 597 + 1 + 1 + 38 + 5 + 6 = 666.

It is a super-2 number, since 2×58415971138562 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5841597113793 and 5841597113802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5841597113851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5766630406 + ... + 5766631418.

It is an arithmetic number, because the mean of its divisors is an integer number (21288613632).

Almost surely, 25841597113856 is an apocalyptic number.

5841597113856 is a gapful number since it is divisible by the number (56) 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 5841597113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10218534543360).

5841597113856 is an abundant number, since it is smaller than the sum of its proper divisors (14595471972864).

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

5841597113856 is a wasteful number, since it uses less digits than its factorization.

5841597113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1208 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 5841597113856 in words is "five trillion, eight hundred forty-one billion, five hundred ninety-seven million, one hundred thirteen thousand, eight hundred fifty-six".