Search a number
-
+
255931489660 = 2257116712719531
BaseRepresentation
bin1110111001011010110…
…1001001110101111100
3220110121022020202021111
43232112231021311330
513143121430132120
6313323500011404
724330135524350
oct3562655116574
9813538222244
10255931489660
11995a3721220
1241726b30b64
131b198bbb1a2
14c55c4a9460
1569cd91c75a
hex3b96b49d7c

255931489660 has 192 divisors, whose sum is σ = 685466320896. Its totient is φ = 77957510400.

The previous prime is 255931489637. The next prime is 255931489661. The reversal of 255931489660 is 66984139552.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 255931489595 and 255931489604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255931489661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13094095 + ... + 13113625.

It is an arithmetic number, because the mean of its divisors is an integer number (3570137088).

Almost surely, 2255931489660 is an apocalyptic number.

255931489660 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 255931489660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342733160448).

255931489660 is an abundant number, since it is smaller than the sum of its proper divisors (429534831236).

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

255931489660 is a wasteful number, since it uses less digits than its factorization.

255931489660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752 (or 19750 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 255931489660 in words is "two hundred fifty-five billion, nine hundred thirty-one million, four hundred eighty-nine thousand, six hundred sixty".