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5260200624 = 2432711346181
BaseRepresentation
bin1001110011000100…
…00100101010110000
3111120120222212201100
410321202010222300
541233102404444
62225544204400
7244231652610
oct47142045260
914516885640
105260200624
11225a278648
121029769700
1365aa33263
1437c874a40
1520bc02e69
hex139884ab0

5260200624 has 120 divisors (see below), whose sum is σ = 16973547552. Its totient is φ = 1489582080.

The previous prime is 5260200599. The next prime is 5260200629. The reversal of 5260200624 is 4260020625.

5260200624 is a `hidden beast` number, since 52 + 602 + 0 + 0 + 6 + 2 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5260200629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90814 + ... + 136994.

Almost surely, 25260200624 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 5260200624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486773776).

5260200624 is an abundant number, since it is smaller than the sum of its proper divisors (11713346928).

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

5260200624 is a wasteful number, since it uses less digits than its factorization.

5260200624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46315 (or 46306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5260200624 is about 72527.2405651835. The cubic root of 5260200624 is about 1739.1382335901.

The spelling of 5260200624 in words is "five billion, two hundred sixty million, two hundred thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2034 2373 2712 3164 4068 4746 5424 6328 7119 8136 9492 12656 14238 16272 18984 28476 37968 46181 56952 92362 113904 138543 184724 277086 323267 369448 415629 554172 646534 738896 831258 969801 1108344 1293068 1662516 1939602 2216688 2586136 2909403 3325032 3879204 5172272 5218453 5818806 6650064 7758408 10436906 11637612 15516816 15655359 20873812 23275224 31310718 36529171 41747624 46550448 46966077 62621436 73058342 83495248 93932154 109587513 125242872 146116684 187864308 219175026 250485744 292233368 328762539 375728616 438350052 584466736 657525078 751457232 876700104 1315050156 1753400208 2630100312 5260200624