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3664315864 = 2311174356963
BaseRepresentation
bin1101101001101001…
…0000010111011000
3100110101001112101101
43122122100113120
530001031101424
61403335001144
7156543112426
oct33232202730
910411045341
103664315864
111610457820
128632091b4
1346520b651
1426a932116
15166a68344
hexda6905d8

3664315864 has 64 divisors (see below), whose sum is σ = 8120787840. Its totient is φ = 1531138560.

The previous prime is 3664315861. The next prime is 3664315871. The reversal of 3664315864 is 4685134663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664315861) 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, 35847 + ... + 92809.

It is an arithmetic number, because the mean of its divisors is an integer number (126887310).

Almost surely, 23664315864 is an apocalyptic number.

3664315864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664315864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060393920).

3664315864 is an abundant number, since it is smaller than the sum of its proper divisors (4456471976).

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

3664315864 is a wasteful number, since it uses less digits than its factorization.

3664315864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57040 (or 57036 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The square root of 3664315864 is about 60533.5928555377. The cubic root of 3664315864 is about 1541.6920548527.

The spelling of 3664315864 in words is "three billion, six hundred sixty-four million, three hundred fifteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5848 8041 16082 32164 56963 64328 113926 227852 455704 626593 968371 1253186 1936742 2449409 2506372 3873484 4898818 5012744 7746968 9797636 10652081 19595272 21304162 26943499 41639953 42608324 53886998 83279906 85216648 107773996 166559812 215547992 333119624 458039483 916078966 1832157932 3664315864