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6521345148 = 22319379231
BaseRepresentation
bin1100001001011001…
…11101010001111100
3121211111001122202210
412010230331101330
5101323431021043
62555035020420
7320414343033
oct60454752174
917744048683
106521345148
11284714714a
12131bb9a710
137cc0b5616
1445c15d71a
152827ba633
hex184b3d47c

6521345148 has 48 divisors (see below), whose sum is σ = 16061911040. Its totient is φ = 2059346160.

The previous prime is 6521345141. The next prime is 6521345161. The reversal of 6521345148 is 8415431256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6521345141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42693 + ... + 121923.

Almost surely, 26521345148 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 6521345148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030955520).

6521345148 is an abundant number, since it is smaller than the sum of its proper divisors (9540565892).

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

6521345148 is a wasteful number, since it uses less digits than its factorization.

6521345148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79295 (or 79255 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 6521345148 is about 80754.8459722387. The cubic root of 6521345148 is about 1868.2961925650.

The spelling of 6521345148 in words is "six billion, five hundred twenty-one million, three hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 6859 13718 20577 27436 41154 79231 82308 158462 237693 316924 475386 950772 1505389 3010778 4516167 6021556 9032334 18064668 28602391 57204782 85807173 114409564 171614346 343228692 543445429 1086890858 1630336287 2173781716 3260672574 6521345148