Search a number
-
+
2485356788096 = 277213231431759
BaseRepresentation
bin100100001010101010110…
…011101111100110000000
322210121010210021022202222
4210022222303233212000
5311210002314204341
65141431313230212
7344363313063500
oct44125263574600
98717123238688
102485356788096
11879041128466
12341818b62368
131504a2a57c00
1488413005a00
15449b32c644b
hex242aacef980

2485356788096 has 576 divisors, whose sum is σ = 6591457382400. Its totient is φ = 928845066240.

The previous prime is 2485356788077. The next prime is 2485356788099. The reversal of 2485356788096 is 6908876535842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485356788099) 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 71 ways as a sum of consecutive naturals, for example, 1412936465 + ... + 1412938223.

It is an arithmetic number, because the mean of its divisors is an integer number (11443502400).

Almost surely, 22485356788096 is an apocalyptic number.

2485356788096 is a gapful number since it is divisible by the number (26) 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 2485356788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295728691200).

2485356788096 is an abundant number, since it is smaller than the sum of its proper divisors (4106100594304).

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

2485356788096 is a wasteful number, since it uses less digits than its factorization.

2485356788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 71.

The spelling of 2485356788096 in words is "two trillion, four hundred eighty-five billion, three hundred fifty-six million, seven hundred eighty-eight thousand, ninety-six".