Search a number
-
+
53712283080960 = 2832576769114387
BaseRepresentation
bin11000011011001110111011…
…00011011001100100000000
321001011211210100201002202100
430031213131203121210000
524020010223432042320
6310123025431150400
714212404306110340
oct1415473543314400
9231154710632670
1053712283080960
1116129284582a39
126035972b15400
1323c807b3aa44a
14d3998cc70d20
156322a6997790
hex30d9dd8d9900

53712283080960 has 864 divisors, whose sum is σ = 215884233556992. Its totient is φ = 12075511726080.

The previous prime is 53712283080943. The next prime is 53712283080971. The reversal of 53712283080960 is 6908038221735.

53712283080960 is a `hidden beast` number, since 53 + 7 + 1 + 228 + 308 + 0 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53712283080897 and 53712283080906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3733382887 + ... + 3733397273.

Almost surely, 253712283080960 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 53712283080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107942116778496).

53712283080960 is an abundant number, since it is smaller than the sum of its proper divisors (162171950476032).

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

53712283080960 is a wasteful number, since it uses less digits than its factorization.

53712283080960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15179 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 53712283080960 in words is "fifty-three trillion, seven hundred twelve billion, two hundred eighty-three million, eighty thousand, nine hundred sixty".