Search a number
-
+
869407532000 = 2553735986491
BaseRepresentation
bin11001010011011001011…
…10100010001111100000
310002010002111122200112222
430221230232202033200
5103221021312011000
61503222244410212
7116545505042510
oct14515456421740
93063074580488
10869407532000
11305793982897
121205b69a6968
1363ca5734837
14301183d5840
15179368c1a85
hexca6cba23e0

869407532000 has 192 divisors, whose sum is σ = 2448124922880. Its totient is φ = 297248832000.

The previous prime is 869407531969. The next prime is 869407532003. The reversal of 869407532000 is 235704968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869407532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10008755 + ... + 10095245.

It is an arithmetic number, because the mean of its divisors is an integer number (12750650640).

Almost surely, 2869407532000 is an apocalyptic number.

869407532000 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 869407532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224062461440).

869407532000 is an abundant number, since it is smaller than the sum of its proper divisors (1578717390880).

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

869407532000 is a wasteful number, since it uses less digits than its factorization.

869407532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86882 (or 86864 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 869407532000 in words is "eight hundred sixty-nine billion, four hundred seven million, five hundred thirty-two thousand".