Search a number
-
+
2489383128960 = 2732571331115271
BaseRepresentation
bin100100001110011010110…
…011000000111110000000
322210222112101112122002200
4210032122303000332000
5311241224040111320
65143335023513200
7344565143315550
oct44163263007600
98728471478080
102489383128960
1187a8179729a2
12342561458800
13150994c6cc20
14886b5a55160
1544b4ba01290
hex2439acc0f80

2489383128960 has 768 divisors, whose sum is σ = 10614592235520. Its totient is φ = 523509350400.

The previous prime is 2489383128943. The next prime is 2489383128971. The reversal of 2489383128960 is 698213839842.

2489383128960 is a `hidden beast` number, since 2 + 48 + 9 + 383 + 128 + 96 + 0 = 666.

It is a super-3 number, since 3×24893831289603 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163006125 + ... + 163021395.

It is an arithmetic number, because the mean of its divisors is an integer number (13821083640).

Almost surely, 22489383128960 is an apocalyptic number.

2489383128960 is a gapful number since it is divisible by the number (20) 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 2489383128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307296117760).

2489383128960 is an abundant number, since it is smaller than the sum of its proper divisors (8125209106560).

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

2489383128960 is a wasteful number, since it uses less digits than its factorization.

2489383128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627 (or 15612 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 2489383128960 in words is "two trillion, four hundred eighty-nine billion, three hundred eighty-three million, one hundred twenty-eight thousand, nine hundred sixty".