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5301204864 = 273233891543
BaseRepresentation
bin1001110111111100…
…11111011110000000
3111200110011002221220
410323332133132000
541324102023424
62234011115040
7245240332524
oct47376373600
914613132856
105301204864
11228043474a
12103b442a80
1366638bc17
143840a9d84
15210602579
hex13bf9f780

5301204864 has 128 divisors (see below), whose sum is σ = 14740876800. Its totient is φ = 1684801536.

The previous prime is 5301204791. The next prime is 5301204899. The reversal of 5301204864 is 4684021035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3434877 + ... + 3436419.

It is an arithmetic number, because the mean of its divisors is an integer number (115163100).

Almost surely, 25301204864 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 5301204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370438400).

5301204864 is an abundant number, since it is smaller than the sum of its proper divisors (9439671936).

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

5301204864 is a wasteful number, since it uses less digits than its factorization.

5301204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5301204864 is about 72809.3734624876. The cubic root of 5301204864 is about 1743.6455105334.

Adding to 5301204864 its reverse (4684021035), we get a palindrome (9985225899).

The spelling of 5301204864 in words is "five billion, three hundred one million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 389 552 736 778 1104 1167 1472 1543 1556 2208 2334 2944 3086 3112 4416 4629 4668 6172 6224 8832 8947 9258 9336 12344 12448 17894 18516 18672 24688 24896 26841 35489 35788 37032 37344 49376 49792 53682 70978 71576 74064 74688 98752 106467 107364 141956 143152 148128 149376 197504 212934 214728 283912 286304 296256 425868 429456 567824 572608 592512 600227 851736 858912 1135648 1145216 1200454 1703472 1717824 1800681 2271296 2400908 3406944 3435648 3601362 4542592 4801816 6813888 7202724 9603632 13627776 13805221 14405448 19207264 27610442 28810896 38414528 41415663 55220884 57621792 76829056 82831326 110441768 115243584 165662652 220883536 230487168 331325304 441767072 662650608 883534144 1325301216 1767068288 2650602432 5301204864