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668287536 = 243741139349
BaseRepresentation
bin100111110101010…
…100001000110000
31201120111112011020
4213311110020300
52332040200121
6150151415440
722363231110
oct4765241060
91646445136
10668287536
1131325a354
12167984580
13a85b7b17
1464a81040
153da0b1c6
hex27d54230

668287536 has 160 divisors (see below), whose sum is σ = 2041536000. Its totient is φ = 184412160.

The previous prime is 668287511. The next prime is 668287579. The reversal of 668287536 is 635782866.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1914690 + ... + 1915038.

It is an arithmetic number, because the mean of its divisors is an integer number (12759600).

Almost surely, 2668287536 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 668287536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020768000).

668287536 is an abundant number, since it is smaller than the sum of its proper divisors (1373248464).

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

668287536 is a wasteful number, since it uses less digits than its factorization.

668287536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 668287536 is about 25851.2579191033. The cubic root of 668287536 is about 874.2878716313.

The spelling of 668287536 in words is "six hundred sixty-eight million, two hundred eighty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 139 164 168 246 278 287 328 336 349 417 492 556 574 656 698 834 861 973 984 1047 1112 1148 1396 1668 1722 1946 1968 2094 2224 2296 2443 2792 2919 3336 3444 3892 4188 4592 4886 5584 5699 5838 6672 6888 7329 7784 8376 9772 11398 11676 13776 14309 14658 15568 16752 17097 19544 22796 23352 28618 29316 34194 39088 39893 42927 45592 46704 48511 57236 58632 68388 79786 85854 91184 97022 100163 114472 117264 119679 136776 145533 159572 171708 194044 200326 228944 239358 273552 291066 300489 319144 339577 343416 388088 400652 478716 582132 600978 638288 679154 686832 776176 801304 957432 1018731 1164264 1201956 1358308 1602608 1914864 1988951 2037462 2328528 2403912 2716616 3977902 4074924 4807824 5433232 5966853 7955804 8149848 11933706 13922657 15911608 16299696 23867412 27845314 31823216 41767971 47734824 55690628 83535942 95469648 111381256 167071884 222762512 334143768 668287536