Search a number
-
+
52886615040 = 2103357314143
BaseRepresentation
bin110001010000010010…
…011011010000000000
312001111202111102001000
4301100102123100000
51331302433140130
640143515412000
73551402545020
oct612022332000
9161452442030
1052886615040
112047a12a716
12a2bb754000
134caab0526c
1427b9c5da80
151597edd260
hexc5049b400

52886615040 has 1408 divisors, whose sum is σ = 232418672640. Its totient is φ = 11147673600.

The previous prime is 52886615003. The next prime is 52886615051. The reversal of 52886615040 is 4051668825.

52886615040 is a `hidden beast` number, since 5 + 2 + 8 + 86 + 61 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1229921259 + ... + 1229921301.

It is an arithmetic number, because the mean of its divisors is an integer number (165070080).

Almost surely, 252886615040 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 52886615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116209336320).

52886615040 is an abundant number, since it is smaller than the sum of its proper divisors (179532057600).

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

52886615040 is a wasteful number, since it uses less digits than its factorization.

52886615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 52886615040 in words is "fifty-two billion, eight hundred eighty-six million, six hundred fifteen thousand, forty".