Search a number
-
+
869141264640 = 283511791811439
BaseRepresentation
bin11001010010111001101…
…10110011100100000000
310002002101221121220101220
430221130312303210000
5103220000130432030
61503140013355040
7116536062566025
oct14513466634400
93062357556356
10869141264640
11305667649220
12120541798a80
1363c6251799c
14300d0cc354c
151791d327a10
hexca5cdb3900

869141264640 has 576 divisors, whose sum is σ = 3085583155200. Its totient is φ = 206740684800.

The previous prime is 869141264611. The next prime is 869141264689. The reversal of 869141264640 is 46462141968.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603989041 + ... + 603990479.

It is an arithmetic number, because the mean of its divisors is an integer number (5356915200).

Almost surely, 2869141264640 is an apocalyptic number.

869141264640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869141264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542791577600).

869141264640 is an abundant number, since it is smaller than the sum of its proper divisors (2216441890560).

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

869141264640 is a wasteful number, since it uses less digits than its factorization.

869141264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 869141264640 in words is "eight hundred sixty-nine billion, one hundred forty-one million, two hundred sixty-four thousand, six hundred forty".