Search a number
-
+
13522332928 = 281331131071
BaseRepresentation
bin11001001011111111…
…00110110100000000
31021220101122200112111
430211333212310000
5210143204123203
610113450305104
7656044635106
oct144577466400
937811580474
1013522332928
11580a005965
122754728194
131376676040
14923c95c76
1554222c26d
hex325fe6d00

13522332928 has 72 divisors (see below), whose sum is σ = 30006050816. Its totient is φ = 6039705600.

The previous prime is 13522332907. The next prime is 13522332953. The reversal of 13522332928 is 82923322531.

13522332928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37633 + ... + 168703.

Almost surely, 213522332928 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 13522332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003025408).

13522332928 is an abundant number, since it is smaller than the sum of its proper divisors (16483717888).

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

13522332928 is a wasteful number, since it uses less digits than its factorization.

13522332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131117 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The spelling of 13522332928 in words is "thirteen billion, five hundred twenty-two million, three hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 12896 25792 51584 103168 131071 262142 524284 1048568 1703923 2097136 3407846 4063201 4194272 6815692 8126402 8388544 13631384 16252804 16777088 27262768 32505608 33554176 52821613 54525536 65011216 105643226 109051072 130022432 211286452 218102144 260044864 422572904 436204288 520089728 845145808 1040179456 1690291616 3380583232 6761166464 13522332928