Search a number
-
+
255903543000 = 23355372331211
BaseRepresentation
bin1110111001010100001…
…0100010111011011000
3220110112100122220200000
43232111002202323120
513143042301334000
6313321021013000
724326346140250
oct3562502427330
9813470586600
10255903543000
1199589973506
12417196b4160
131b1931849c1
14c5588b2960
1569cb24c000
hex3b950a2ed8

255903543000 has 1536 divisors, whose sum is σ = 1109441249280. Its totient is φ = 53887680000.

The previous prime is 255903542981. The next prime is 255903543017. The reversal of 255903543000 is 345309552.

255903543000 is a `hidden beast` number, since 2 + 5 + 590 + 35 + 4 + 30 + 0 + 0 = 666.

255903543000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 1212812895 + ... + 1212813105.

It is an arithmetic number, because the mean of its divisors is an integer number (722292480).

Almost surely, 2255903543000 is an apocalyptic number.

255903543000 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 255903543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554720624640).

255903543000 is an abundant number, since it is smaller than the sum of its proper divisors (853537706280).

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

255903543000 is a wasteful number, since it uses less digits than its factorization.

255903543000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 255903543000 in words is "two hundred fifty-five billion, nine hundred three million, five hundred forty-three thousand".