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5115660516 = 22331131732423
BaseRepresentation
bin1001100001110101…
…01100100011100100
3111012112000110222000
410300322230203210
540434102114031
62203342205300
7240525253101
oct46072544344
914175013860
105115660516
11219572550a
12ba9283830
13636ac6575
143675abaa8
151ee1a13e6
hex130eac8e4

5115660516 has 96 divisors (see below), whose sum is σ = 13463089920. Its totient is φ = 1679666688.

The previous prime is 5115660499. The next prime is 5115660551. The reversal of 5115660516 is 6150665115.

It is a super-3 number, since 3×51156605163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2110081 + ... + 2112503.

It is an arithmetic number, because the mean of its divisors is an integer number (140240520).

Almost surely, 25115660516 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 5115660516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731544960).

5115660516 is an abundant number, since it is smaller than the sum of its proper divisors (8347429404).

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

5115660516 is a wasteful number, since it uses less digits than its factorization.

5115660516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5115660516 is about 71523.8457858636. The cubic root of 5115660516 is about 1723.0606802852.

The spelling of 5115660516 in words is "five billion, one hundred fifteen million, six hundred sixty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 173 226 339 346 452 519 678 692 1017 1038 1356 1557 2034 2076 2423 3051 3114 4068 4671 4846 6102 6228 7269 9342 9692 12204 14538 18684 19549 21807 29076 39098 43614 58647 65421 78196 87228 117294 130842 175941 234588 261684 273799 351882 419179 527823 547598 703764 821397 838358 1055646 1095196 1257537 1642794 1676716 2111292 2464191 2515074 3285588 3772611 4928382 5030148 7392573 7545222 9856764 11317833 14785146 15090444 22635666 29570292 45271332 47367227 94734454 142101681 189468908 284203362 426305043 568406724 852610086 1278915129 1705220172 2557830258 5115660516