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5218337140 = 2252937324121
BaseRepresentation
bin1001101110000100…
…11000000101110100
3111110200012222210221
410313002120011310
541141343242030
62221451024124
7243213063622
oct46702300564
914420188727
105218337140
112238684a25
12101773b044
13652166473
14377098512
152081d3e7a
hex137098174

5218337140 has 48 divisors (see below), whose sum is σ = 11367251280. Its totient is φ = 2009871360.

The previous prime is 5218337107. The next prime is 5218337149. The reversal of 5218337140 is 417338125.

It can be written as a sum of positive squares in 8 ways, for example, as 113806224 + 5104530916 = 10668^2 + 71446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5218337096 and 5218337105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218337149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204280 + ... + 228400.

It is an arithmetic number, because the mean of its divisors is an integer number (236817735).

Almost surely, 25218337140 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 5218337140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683625640).

5218337140 is an abundant number, since it is smaller than the sum of its proper divisors (6148914140).

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

5218337140 is a wasteful number, since it uses less digits than its factorization.

5218337140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24532 (or 24530 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 5218337140 is about 72238.0588055908. The cubic root of 5218337140 is about 1734.5122764334.

The spelling of 5218337140 in words is "five billion, two hundred eighteen million, three hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 373 580 746 1492 1865 3730 7460 10817 21634 24121 43268 48242 54085 96484 108170 120605 216340 241210 482420 699509 1399018 2798036 3497545 6995090 8997133 13990180 17994266 35988532 44985665 89971330 179942660 260916857 521833714 1043667428 1304584285 2609168570 5218337140