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5355896832 = 215321113127
BaseRepresentation
bin1001111110011110…
…01000000000000000
3111211021001202020100
410333033020000000
541432102144312
62243243242400
7246503241366
oct47717100000
914737052210
105355896832
1122a929a620
121055819400
136747cab30
1438b465636
152153075dc
hex13f3c8000

5355896832 has 384 divisors, whose sum is σ = 18320440320. Its totient is φ = 1486356480.

The previous prime is 5355896773. The next prime is 5355896837. The reversal of 5355896832 is 2386985535.

5355896832 is a `hidden beast` number, since 5 + 3 + 558 + 9 + 6 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (5355896837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42172353 + ... + 42172479.

It is an arithmetic number, because the mean of its divisors is an integer number (47709480).

Almost surely, 25355896832 is an apocalyptic number.

5355896832 is a gapful number since it is divisible by the number (52) 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 5355896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160220160).

5355896832 is an abundant number, since it is smaller than the sum of its proper divisors (12964543488).

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

5355896832 is a wasteful number, since it uses less digits than its factorization.

5355896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

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

The square root of 5355896832 is about 73183.9930039350. The cubic root of 5355896832 is about 1749.6213419645.

The spelling of 5355896832 in words is "five billion, three hundred fifty-five million, eight hundred ninety-six thousand, eight hundred thirty-two".