Search a number
-
+
425024483808288 = 253721367713534139
BaseRepresentation
bin110000010100011101011100…
…1011000001101010000100000
32001201212221111001110002010010
41200220322321120031100200
5421202100120323331123
64103541315150404520
7155345001632445600
oct14050727130152040
92051787431402103
10425024483808288
111134759648207a1
123b804713800740
13153208381c8270
1476d541ac26c00
153420cdede2993
hex1828eb960d420

425024483808288 has 1152 divisors, whose sum is σ = 1442940570408960. Its totient is φ = 108531458703360.

The previous prime is 425024483808229. The next prime is 425024483808319. The reversal of 425024483808288 is 882808384420524.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 102687720523 + ... + 102687724661.

It is an arithmetic number, because the mean of its divisors is an integer number (1252552578480).

Almost surely, 2425024483808288 is an apocalyptic number.

425024483808288 is a gapful number since it is divisible by the number (48) 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 425024483808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721470285204480).

425024483808288 is an abundant number, since it is smaller than the sum of its proper divisors (1017916086600672).

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

425024483808288 is a wasteful number, since it uses less digits than its factorization.

425024483808288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 251658240, while the sum is 66.

The spelling of 425024483808288 in words is "four hundred twenty-five trillion, twenty-four billion, four hundred eighty-three million, eight hundred eight thousand, two hundred eighty-eight".