Search a number
-
+
285251790458880 = 21232573747127133
BaseRepresentation
bin100000011011011110101101…
…1101001000101000000000000
31101101222210201201202210120200
41000312331123221011000000
5244342031131324141010
62450402510302005200
7114040522166665650
oct10066753351050000
91341883651683520
10285251790458880
1182987672240483
1227bab85b576800
13c3221891a355b
145062390484360
1522ea0c12d4cc0
hex1036f5ba45000

285251790458880 has 1248 divisors, whose sum is σ = 1185244806380544. Its totient is φ = 62087997947904.

The previous prime is 285251790458861. The next prime is 285251790458891. The reversal of 285251790458880 is 88854097152582.

285251790458880 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 5 + 1 + 7 + 90 + 458 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 285251790458799 and 285251790458808.

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 95 ways as a sum of consecutive naturals, for example, 2243663794 + ... + 2243790926.

It is an arithmetic number, because the mean of its divisors is an integer number (949715389728).

Almost surely, 2285251790458880 is an apocalyptic number.

285251790458880 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 285251790458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592622403190272).

285251790458880 is an abundant number, since it is smaller than the sum of its proper divisors (899993015921664).

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

285251790458880 is a wasteful number, since it uses less digits than its factorization.

285251790458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127259 (or 127234 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 285251790458880 in words is "two hundred eighty-five trillion, two hundred fifty-one billion, seven hundred ninety million, four hundred fifty-eight thousand, eight hundred eighty".