Search a number
-
+
255388788000 = 2534533147541
BaseRepresentation
bin1110110111011001011…
…0111010010100100000
3220102012111001122120000
43231312112322110200
513141014012204000
6313153552020000
724310525610643
oct3556626722440
9812174048500
10255388788000
1199345349455
12415b5231600
131b110634948
14c50a399a5a
15699ae6c000
hex3b765ba520

255388788000 has 960 divisors, whose sum is σ = 990013280256. Its totient is φ = 64385280000.

The previous prime is 255388787987. The next prime is 255388788001. The reversal of 255388788000 is 887883552.

It is a happy number.

255388788000 is a `hidden beast` number, since 2 + 553 + 8 + 8 + 7 + 8 + 80 + 0 + 0 = 666.

255388788000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2553887880002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255388788001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 472067730 + ... + 472068270.

Almost surely, 2255388788000 is an apocalyptic number.

255388788000 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 255388788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495006640128).

255388788000 is an abundant number, since it is smaller than the sum of its proper divisors (734624492256).

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

255388788000 is a wasteful number, since it uses less digits than its factorization.

255388788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 255388788000 in words is "two hundred fifty-five billion, three hundred eighty-eight million, seven hundred eighty-eight thousand".