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5327811016 = 23112175692
BaseRepresentation
bin1001111011000111…
…11111000111001000
3111202022012211201221
410331203333013020
541402404423031
62240401251424
7246012434503
oct47543770710
914668184657
105327811016
112294457300
121048333b74
1366ba461c8
1438783413a
15212b0aa11
hex13d8ff1c8

5327811016 has 72 divisors (see below), whose sum is σ = 11646726210. Its totient is φ = 2275271680.

The previous prime is 5327810981. The next prime is 5327811017. The reversal of 5327811016 is 6101187235.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3567672900 + 1760138116 = 59730^2 + 41954^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5327811017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9363180 + ... + 9363748.

Almost surely, 25327811016 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 5327811016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823363105).

5327811016 is an abundant number, since it is smaller than the sum of its proper divisors (6318915194).

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

5327811016 is a wasteful number, since it uses less digits than its factorization.

5327811016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 5327811016 is about 72991.8558196735. The cubic root of 5327811016 is about 1746.5576976545.

Multiplying 5327811016 by its sum of digits (34), we get a square (181145574544 = 4256122).

5327811016 divided by its sum of digits (34) gives a square (156700324 = 125182).

The spelling of 5327811016 in words is "five billion, three hundred twenty-seven million, eight hundred eleven thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 569 748 968 1138 1496 2057 2276 4114 4552 6259 8228 9673 12518 16456 19346 25036 38692 50072 68849 77384 106403 137698 212806 275396 323761 425612 550792 647522 851224 1170433 1295044 2340866 2590088 3561371 4681732 5503937 7122742 9363464 11007874 14245484 22015748 28490968 39175081 44031496 60543307 78350162 121086614 156700324 242173228 313400648 484346456 665976377 1331952754 2663905508 5327811016