Search a number
-
+
5352081141888 = 27321317192414591
BaseRepresentation
bin100110111100010000011…
…1001010011000010000000
3200221122122201220021202100
41031320200321103002000
51200142030233020023
615214413453150400
71061450363042355
oct115704071230200
920848581807670
105352081141888
111783894304588
1272532918b400
132ca911b79ca0
1414708379662c
1594347314c43
hex4de20e53080

5352081141888 has 768 divisors, whose sum is σ = 18566554406400. Its totient is φ = 1461937766400.

The previous prime is 5352081141881. The next prime is 5352081141889. The reversal of 5352081141888 is 8881411802535.

It is a happy number.

5352081141888 is a `hidden beast` number, since 5 + 3 + 5 + 208 + 11 + 418 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5352081141881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1165774473 + ... + 1165779063.

It is an arithmetic number, because the mean of its divisors is an integer number (24175201050).

Almost surely, 25352081141888 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 5352081141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9283277203200).

5352081141888 is an abundant number, since it is smaller than the sum of its proper divisors (13214473264512).

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

5352081141888 is a wasteful number, since it uses less digits than its factorization.

5352081141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 5352081141888 in words is "five trillion, three hundred fifty-two billion, eighty-one million, one hundred forty-one thousand, eight hundred eighty-eight".