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5680505064 = 2331324134159
BaseRepresentation
bin1010100101001010…
…11010000011101000
3112122212212120000110
411102211122003220
543113202130224
62335400534320
7260524332153
oct52245320350
915585776013
105680505064
112455551593
1211264813a0
136c6b33700
143bc602c9a
15233a77929
hex15295a0e8

5680505064 has 96 divisors (see below), whose sum is σ = 15753225600. Its totient is φ = 1705167360.

The previous prime is 5680505059. The next prime is 5680505081. The reversal of 5680505064 is 4605050865.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149217 + ... + 183375.

It is an arithmetic number, because the mean of its divisors is an integer number (164096100).

Almost surely, 25680505064 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 5680505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876612800).

5680505064 is an abundant number, since it is smaller than the sum of its proper divisors (10072720536).

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

5680505064 is a wasteful number, since it uses less digits than its factorization.

5680505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34235 (or 34218 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 5680505064 is about 75369.1254029128. The cubic root of 5680505064 is about 1784.2771635640.

The spelling of 5680505064 in words is "five billion, six hundred eighty million, five hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 169 246 312 328 338 492 507 533 676 984 1014 1066 1352 1599 2028 2132 3198 4056 4264 6396 6929 12792 13858 20787 27716 34159 41574 55432 68318 83148 102477 136636 166296 204954 273272 409908 444067 819816 888134 1332201 1400519 1776268 2664402 2801038 3552536 4201557 5328804 5602076 5772871 8403114 10657608 11204152 11545742 16806228 17318613 18206747 23091484 33612456 34637226 36413494 46182968 54620241 69274452 72826988 109240482 138548904 145653976 218480964 236687711 436961928 473375422 710063133 946750844 1420126266 1893501688 2840252532 5680505064