Search a number
-
+
255341582496 = 253472111317827
BaseRepresentation
bin1110110111001110001…
…0110101100010100000
3220102002012020100210000
43231303202311202200
513140414421114441
6313145144140000
724306413432400
oct3556342654240
9812065210700
10255341582496
1199320737240
12415a1467600
131b1039174b0
14c503dcc800
156996c452b6
hex3b738b58a0

255341582496 has 1440 divisors, whose sum is σ = 1087959926592. Its totient is φ = 57549864960.

The previous prime is 255341582477. The next prime is 255341582501. The reversal of 255341582496 is 694285143552.

255341582496 is a `hidden beast` number, since 2 + 5 + 5 + 341 + 58 + 249 + 6 = 666.

255341582496 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 (54).

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 239 ways as a sum of consecutive naturals, for example, 308756035 + ... + 308756861.

Almost surely, 2255341582496 is an apocalyptic number.

255341582496 is a gapful number since it is divisible by the number (26) 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 255341582496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543979963296).

255341582496 is an abundant number, since it is smaller than the sum of its proper divisors (832618344096).

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

255341582496 is a wasteful number, since it uses less digits than its factorization.

255341582496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 880 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 255341582496 in words is "two hundred fifty-five billion, three hundred forty-one million, five hundred eighty-two thousand, four hundred ninety-six".