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5359856832 = 263511171997
BaseRepresentation
bin1001111110111100…
…01110110011000000
3111211112111221100000
410333132032303000
541434110404312
62243504200000
7246552013521
oct47736166300
914745457300
105359856832
112300554850
121057009000
13675586425
1438bbb6848
1521583aadc
hex13f78ecc0

5359856832 has 672 divisors, whose sum is σ = 19571086080. Its totient is φ = 1433272320.

The previous prime is 5359856783. The next prime is 5359856833. The reversal of 5359856832 is 2386589535.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5359856833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55256208 + ... + 55256304.

It is an arithmetic number, because the mean of its divisors is an integer number (29123640).

Almost surely, 25359856832 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 5359856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785543040).

5359856832 is an abundant number, since it is smaller than the sum of its proper divisors (14211229248).

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

5359856832 is a wasteful number, since it uses less digits than its factorization.

5359856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 5359856832 is about 73211.0431014338. The cubic root of 5359856832 is about 1750.0524427277.

The spelling of 5359856832 in words is "five billion, three hundred fifty-nine million, eight hundred fifty-six thousand, eight hundred thirty-two".