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5286218100 = 2235229360139
BaseRepresentation
bin1001110110001010…
…10100100101110100
3111122101221200222120
410323011110211310
541311232434400
62232313555540
7244666053402
oct47305244564
914571850876
105286218100
112272a28999
121036415bb0
13663242607
143820c8472
1520e141ca0
hex13b154974

5286218100 has 72 divisors (see below), whose sum is σ = 15347246880. Its totient is φ = 1404823680.

The previous prime is 5286218081. The next prime is 5286218141. The reversal of 5286218100 is 18126825.

It is a super-2 number, since 2×52862181002 = 55888203601535220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57831 + ... + 117969.

Almost surely, 25286218100 is an apocalyptic number.

5286218100 is a gapful number since it is divisible by the number (50) 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 5286218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673623440).

5286218100 is an abundant number, since it is smaller than the sum of its proper divisors (10061028780).

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

5286218100 is a wasteful number, since it uses less digits than its factorization.

5286218100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60449 (or 60442 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 5286218100 is about 72706.3828009618. The cubic root of 5286218100 is about 1742.0008361439. Note that the first 3 decimals are identical.

The spelling of 5286218100 in words is "five billion, two hundred eighty-six million, two hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 293 300 586 879 1172 1465 1758 2930 3516 4395 5860 7325 8790 14650 17580 21975 29300 43950 60139 87900 120278 180417 240556 300695 360834 601390 721668 902085 1202780 1503475 1804170 3006950 3608340 4510425 6013900 9020850 17620727 18041700 35241454 52862181 70482908 88103635 105724362 176207270 211448724 264310905 352414540 440518175 528621810 881036350 1057243620 1321554525 1762072700 2643109050 5286218100