Search a number
-
+
528423261120 = 263253739712491
BaseRepresentation
bin1111011000010000111…
…10110001001111000000
31212111221201120222111100
413230020132301033000
532124202323323440
61042430532214400
753114551416006
oct7541036611700
91774851528440
10528423261120
11194115178247
12864b3a6a400
133aaa3962991
141b80c0b0a76
15db2b105230
hex7b087b13c0

528423261120 has 336 divisors, whose sum is σ = 1871530753248. Its totient is φ = 136748113920.

The previous prime is 528423261109. The next prime is 528423261151. The reversal of 528423261120 is 21162324825.

528423261120 is a `hidden beast` number, since 5 + 2 + 8 + 4 + 2 + 32 + 611 + 2 + 0 = 666.

It is a super-2 number, since 2×5284232611202 (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42298075 + ... + 42310565.

Almost surely, 2528423261120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528423261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935765376624).

528423261120 is an abundant number, since it is smaller than the sum of its proper divisors (1343107492128).

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

528423261120 is a wasteful number, since it uses less digits than its factorization.

528423261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 528423261120 its reverse (21162324825), we get a palindrome (549585585945).

The spelling of 528423261120 in words is "five hundred twenty-eight billion, four hundred twenty-three million, two hundred sixty-one thousand, one hundred twenty".