Search a number
-
+
5278345343040 = 2635711431660609
BaseRepresentation
bin100110011001111010111…
…1001100011000001000000
3200200121022221222121021110
41030303311321203001000
51142440022401434130
615120501031123320
71053230214066030
oct114636571430100
920617287877243
105278345343040
111755596381550
12712b8b213540
132c3990786493
1414368a9618c0
159247dc6aab0
hex4ccf5e63040

5278345343040 has 448 divisors, whose sum is σ = 21379941918720. Its totient is φ = 1071291432960.

The previous prime is 5278345343023. The next prime is 5278345343041. The reversal of 5278345343040 is 403435438725.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5278345343041) 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 63 ways as a sum of consecutive naturals, for example, 2348256 + ... + 4008864.

It is an arithmetic number, because the mean of its divisors is an integer number (47723084640).

Almost surely, 25278345343040 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 5278345343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10689970959360).

5278345343040 is an abundant number, since it is smaller than the sum of its proper divisors (16101596575680).

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

5278345343040 is a wasteful number, since it uses less digits than its factorization.

5278345343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660690 (or 1660680 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 5278345343040 in words is "five trillion, two hundred seventy-eight billion, three hundred forty-five million, three hundred forty-three thousand, forty".