Search a number
-
+
164887243488 = 253311131132437
BaseRepresentation
bin1001100110010000001…
…0111010101011100000
3120202121021102211201000
42121210002322223200
510200142113242423
6203425333512000
714625026305332
oct2314402725340
9522537384630
10164887243488
1163a23606570
1227b584a2600
1312719939586
147da2a23452
154450a6e843
hex26640baae0

164887243488 has 192 divisors, whose sum is σ = 528650115840. Its totient is φ = 49584038400.

The previous prime is 164887243483. The next prime is 164887243513. The reversal of 164887243488 is 884342788461.

164887243488 is a `hidden beast` number, since 1 + 6 + 4 + 88 + 72 + 4 + 3 + 488 = 666.

164887243488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1648872434882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164887243483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1178806 + ... + 1311242.

It is an arithmetic number, because the mean of its divisors is an integer number (2753386020).

Almost surely, 2164887243488 is an apocalyptic number.

164887243488 is a gapful number since it is divisible by the number (18) 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 164887243488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264325057920).

164887243488 is an abundant number, since it is smaller than the sum of its proper divisors (363762872352).

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

164887243488 is a wasteful number, since it uses less digits than its factorization.

164887243488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132598 (or 132584 counting only the distinct ones).

The product of its digits is 66060288, while the sum is 63.

The spelling of 164887243488 in words is "one hundred sixty-four billion, eight hundred eighty-seven million, two hundred forty-three thousand, four hundred eighty-eight".