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5355344540 = 2257134796143
BaseRepresentation
bin1001111110011010…
…00001001010011100
3111211020000200122002
410333031001022130
541431432011130
62243223341432
7246465451250
oct47715011234
914736020562
105355344540
1122a8a52687
1210555b1878
13674666630
1438b360260
15215248b45
hex13f34129c

5355344540 has 96 divisors (see below), whose sum is σ = 13872660480. Its totient is φ = 1691064576.

The previous prime is 5355344531. The next prime is 5355344567. The reversal of 5355344540 is 454435535.

It is a junction number, because it is equal to n+sod(n) for n = 5355344494 and 5355344503.

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, 868709 + ... + 874851.

It is an arithmetic number, because the mean of its divisors is an integer number (144506880).

Almost surely, 25355344540 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 5355344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

5355344540 is an abundant number, since it is smaller than the sum of its proper divisors (8517315940).

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

5355344540 is a wasteful number, since it uses less digits than its factorization.

5355344540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6649 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

The square root of 5355344540 is about 73180.2195951884. The cubic root of 5355344540 is about 1749.5612004597.

The spelling of 5355344540 in words is "five billion, three hundred fifty-five million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 479 910 958 1820 1916 2395 3353 4790 6143 6227 6706 9580 12286 12454 13412 16765 24572 24908 30715 31135 33530 43001 43589 61430 62270 67060 79859 86002 87178 122860 124540 159718 172004 174356 215005 217945 319436 399295 430010 435890 559013 798590 860020 871780 1118026 1597180 2236052 2795065 2942497 5590130 5884994 11180260 11769988 14712485 20597479 29424970 38252461 41194958 58849940 76504922 82389916 102987395 153009844 191262305 205974790 267767227 382524610 411949580 535534454 765049220 1071068908 1338836135 2677672270 5355344540