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5260566312 = 2332611916271
BaseRepresentation
bin1001110011000110…
…11101111100101000
3111120121200110100100
410321203131330220
541233201110222
62230000105400
7244235035011
oct47143357450
914517613310
105260566312
11225a4a8371
121029905260
1365ab30841
1437c92c008
1520bc764ac
hex1398ddf28

5260566312 has 96 divisors (see below), whose sum is σ = 14559068160. Its totient is φ = 1715472000.

The previous prime is 5260566307. The next prime is 5260566317. The reversal of 5260566312 is 2136650625.

It is a happy number.

5260566312 is a `hidden beast` number, since 5 + 2 + 60 + 566 + 31 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5260566307) and next prime (5260566317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5260566317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835737 + ... + 842007.

It is an arithmetic number, because the mean of its divisors is an integer number (151656960).

Almost surely, 25260566312 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 5260566312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279534080).

5260566312 is an abundant number, since it is smaller than the sum of its proper divisors (9298501848).

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

5260566312 is a wasteful number, since it uses less digits than its factorization.

5260566312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5260566312 is about 72529.7615603416. The cubic root of 5260566312 is about 1739.1785341598.

The spelling of 5260566312 in words is "five billion, two hundred sixty million, five hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 191 244 366 382 488 549 573 732 764 1098 1146 1464 1528 1719 2196 2292 3438 4392 4584 6271 6876 11651 12542 13752 18813 23302 25084 34953 37626 46604 50168 56439 69906 75252 93208 104859 112878 139812 150504 209718 225756 279624 382531 419436 451512 765062 838872 1147593 1197761 1530124 2295186 2395522 3060248 3442779 3593283 4590372 4791044 6885558 7186566 9180744 9582088 10779849 13771116 14373132 21559698 27542232 28746264 43119396 73063421 86238792 146126842 219190263 292253684 438380526 584507368 657570789 876761052 1315141578 1753522104 2630283156 5260566312