Search a number
-
+
32482728864468 = 22321851748728089
BaseRepresentation
bin1110110001010111110011…
…00000111110101011010100
311021000022121020001201202100
413120223321200332223110
513224144112042130333
6153030205403042100
76561541205502051
oct730537140765324
9137008536051670
1032482728864468
11a393936691603
123787454210330
1315181538c835c
1480425b362028
153b4e3c506213
hex1d8af983ead4

32482728864468 has 36 divisors (see below), whose sum is σ = 82113556126420. Its totient is φ = 10826991328896.

The previous prime is 32482728864449. The next prime is 32482728864493. The reversal of 32482728864468 is 86446882728423.

It is a happy number.

32482728864468 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 27 + 2 + 88 + 64 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16350199557444 + 16132529307024 = 4043538^2 + 4016532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 32482728864396 and 32482728864405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23697433 + ... + 25030656.

Almost surely, 232482728864468 is an apocalyptic number.

It is an amenable number.

32482728864468 is an abundant number, since it is smaller than the sum of its proper divisors (49630827261952).

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

32482728864468 is a wasteful number, since it uses less digits than its factorization.

32482728864468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48746616 (or 48746611 counting only the distinct ones).

The product of its digits is 1585446912, while the sum is 72.

The spelling of 32482728864468 in words is "thirty-two trillion, four hundred eighty-two billion, seven hundred twenty-eight million, eight hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 18517 37034 55551 74068 111102 166653 222204 333306 666612 48728089 97456178 146184267 194912356 292368534 438552801 584737068 877105602 1754211204 902298024013 1804596048026 2706894072039 3609192096052 5413788144078 8120682216117 10827576288156 16241364432234 32482728864468