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5813957568 = 263179371901
BaseRepresentation
bin1010110101000100…
…11111001111000000
3120000011222122102210
411122202133033000
543401333120233
62400525142120
7264034552416
oct53242371700
916004878383
105813957568
112513911411
1211630ba940
1371868a7a3
143d22212b6
15240639163
hex15a89f3c0

5813957568 has 112 divisors (see below), whose sum is σ = 16313590944. Its totient is φ = 1821081600.

The previous prime is 5813957561. The next prime is 5813957599. The reversal of 5813957568 is 8657593185.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813957561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3057418 + ... + 3059318.

It is an arithmetic number, because the mean of its divisors is an integer number (145657062).

Almost surely, 25813957568 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 5813957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156795472).

5813957568 is an abundant number, since it is smaller than the sum of its proper divisors (10499633376).

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

5813957568 is a wasteful number, since it uses less digits than its factorization.

5813957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2860 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 57.

The square root of 5813957568 is about 76249.3119182068. The cubic root of 5813957568 is about 1798.1418652290.

The spelling of 5813957568 in words is "five billion, eight hundred thirteen million, nine hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 937 1088 1632 1874 1901 2811 3264 3748 3802 5622 5703 7496 7604 11244 11406 14992 15208 15929 22488 22812 29984 30416 31858 32317 44976 45624 47787 59968 60832 63716 64634 89952 91248 95574 96951 121664 127432 129268 179904 182496 191148 193902 254864 258536 364992 382296 387804 509728 517072 764592 775608 1019456 1034144 1529184 1551216 1781237 2068288 3058368 3102432 3562474 5343711 6204864 7124948 10687422 14249896 21374844 28499792 30281029 42749688 56999584 60562058 85499376 90843087 113999168 121124116 170998752 181686174 242248232 341997504 363372348 484496464 726744696 968992928 1453489392 1937985856 2906978784 5813957568