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115565739682432 = 2713661105068933
BaseRepresentation
bin11010010001101100111110…
…110111001010101010000000
3120011011222101002200111121211
4122101230332313022222000
5110121412113324314212
61045442100133055504
733225230522321164
oct3221547667125200
9504158332614554
10115565739682432
1133906178292606
1210b654b8487594
134c63a580c3760
1420775a97a8ca4
15d561e41319a7
hex691b3edcaa80

115565739682432 has 64 divisors (see below), whose sum is σ = 248313614479560. Its totient is φ = 53257340252160.

The previous prime is 115565739682361. The next prime is 115565739682453. The reversal of 115565739682432 is 234286937565511.

It can be written as a sum of positive squares in 4 ways, for example, as 97959793631296 + 17605946051136 = 9897464^2 + 4195944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51434563 + ... + 53634370.

Almost surely, 2115565739682432 is an apocalyptic number.

It is an amenable number.

115565739682432 is an abundant number, since it is smaller than the sum of its proper divisors (132747874797128).

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

115565739682432 is a wasteful number, since it uses less digits than its factorization.

115565739682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105069621 (or 105069609 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 67.

The spelling of 115565739682432 in words is "one hundred fifteen trillion, five hundred sixty-five billion, seven hundred thirty-nine million, six hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 661 832 1322 1664 2644 5288 8593 10576 17186 21152 34372 42304 68744 84608 137488 274976 549952 1099904 105068933 210137866 420275732 840551464 1365896129 1681102928 2731792258 3362205856 5463584516 6724411712 10927169032 13448823424 21854338064 43708676128 69450564713 87417352256 138901129426 174834704512 277802258852 555604517704 902857341269 1111209035408 1805714682538 2222418070816 3611429365076 4444836141632 7222858730152 8889672283264 14445717460304 28891434920608 57782869841216 115565739682432