Search a number
-
+
4285060657920 = 283257434726293
BaseRepresentation
bin111110010110110001100…
…001001011001100000000
3120011122111020121112000100
4332112301201023030000
51030201301012023140
613040310225122400
7621404540423340
oct76266141131400
916148436545010
104285060657920
111402314037069
12592582189400
13251105828853
1410b58032ad20
15766e6d37530
hex3e5b184b300

4285060657920 has 864 divisors, whose sum is σ = 17707451553792. Its totient is φ = 936274526208.

The previous prime is 4285060657901. The next prime is 4285060657937. The reversal of 4285060657920 is 297560605824.

4285060657920 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 0 + 60 + 6 + 579 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162960294 + ... + 162986586.

Almost surely, 24285060657920 is an apocalyptic number.

4285060657920 is a gapful number since it is divisible by the number (40) 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 4285060657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853725776896).

4285060657920 is an abundant number, since it is smaller than the sum of its proper divisors (13422390895872).

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

4285060657920 is a wasteful number, since it uses less digits than its factorization.

4285060657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26417 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4285060657920 in words is "four trillion, two hundred eighty-five billion, sixty million, six hundred fifty-seven thousand, nine hundred twenty".