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5162201820 = 2233512837451
BaseRepresentation
bin1001100111011000…
…01111001011011100
3111022202121000122000
410303230033023130
541033010424240
62212123522300
7241631664036
oct46354171334
914282530560
105162201820
112209a236a6
121000989390
136436405b9
1436d844c56
152032e6430
hex133b0f2dc

5162201820 has 96 divisors (see below), whose sum is σ = 16074858240. Its totient is φ = 1375329600.

The previous prime is 5162201813. The next prime is 5162201843. The reversal of 5162201820 is 281022615.

It is a happy number.

5162201820 is a `hidden beast` number, since 5 + 1 + 622 + 0 + 18 + 20 = 666.

It is a super-2 number, since 2×51622018202 = 53296655260822624800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689095 + ... + 696545.

It is an arithmetic number, because the mean of its divisors is an integer number (167446440).

Almost surely, 25162201820 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 5162201820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037429120).

5162201820 is an abundant number, since it is smaller than the sum of its proper divisors (10912656420).

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

5162201820 is a wasteful number, since it uses less digits than its factorization.

5162201820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5162201820 is about 71848.4642842142. The cubic root of 5162201820 is about 1728.2702726363.

The spelling of 5162201820 in words is "five billion, one hundred sixty-two million, two hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1283 2566 3849 5132 6415 7451 7698 11547 12830 14902 15396 19245 22353 23094 25660 29804 34641 37255 38490 44706 46188 57735 67059 69282 74510 76980 89412 111765 115470 134118 138564 149020 173205 201177 223530 230940 268236 335295 346410 402354 447060 670590 692820 804708 1005885 1341180 2011770 4023540 9559633 19119266 28678899 38238532 47798165 57357798 86036697 95596330 114715596 143394495 172073394 191192660 258110091 286788990 344146788 430183485 516220182 573577980 860366970 1032440364 1290550455 1720733940 2581100910 5162201820