Search a number
-
+
182226382231680 = 27335192729203381
BaseRepresentation
bin101001011011101111100010…
…110010000001100010000000
3212220012200010220010022121000
4221123233202302001202000
5142341044112322403210
61443321351101132000
753245264425066213
oct5133574262014200
9786180126108530
10182226382231680
1153076858157456
121853083a85a000
137a8ab49561c67
1432ddb380c977a
1516101d6862ac0
hexa5bbe2c81880

182226382231680 has 512 divisors, whose sum is σ = 679605020640000. Its totient is φ = 46019043164160.

The previous prime is 182226382231633. The next prime is 182226382231687. The reversal of 182226382231680 is 86132283622281.

182226382231680 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 26 + 382 + 231 + 6 + 8 + 0 = 666.

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 (182226382231687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895883590 + ... + 896086970.

Almost surely, 2182226382231680 is an apocalyptic number.

182226382231680 is a gapful number since it is divisible by the number (10) 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 182226382231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339802510320000).

182226382231680 is an abundant number, since it is smaller than the sum of its proper divisors (497378638408320).

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

182226382231680 is a wasteful number, since it uses less digits than its factorization.

182226382231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206157 (or 206139 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 182226382231680 in words is "one hundred eighty-two trillion, two hundred twenty-six billion, three hundred eighty-two million, two hundred thirty-one thousand, six hundred eighty".