Search a number
-
+
687068601128 = 237131307722093
BaseRepresentation
bin10011111111110000111…
…10101101101100101000
32102200102222210021022222
421333320132231230220
542224104030214003
61243345052333212
7100432125515120
oct11777036555450
92380388707288
10687068601128
1124542534a298
12b11a9a74208
134ca37367130
142537bb15c80
1512d13ba6c38
hex9ff87adb28

687068601128 has 64 divisors (see below), whose sum is σ = 1586758239360. Its totient is φ = 271599019776.

The previous prime is 687068601127. The next prime is 687068601181. The reversal of 687068601128 is 821106860786.

It is a self number, because there is not a number n which added to its sum of digits gives 687068601128.

It is not an unprimeable number, because it can be changed into a prime (687068601127) 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, 590450 + ... + 1312542.

It is an arithmetic number, because the mean of its divisors is an integer number (24793097490).

Almost surely, 2687068601128 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 687068601128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793379119680).

687068601128 is an abundant number, since it is smaller than the sum of its proper divisors (899689638232).

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

687068601128 is a wasteful number, since it uses less digits than its factorization.

687068601128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723426 (or 723422 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 687068601128 in words is "six hundred eighty-seven billion, sixty-eight million, six hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1307 2614 5228 9149 10456 16991 18298 33982 36596 67964 73192 118937 135928 237874 475748 722093 951496 1444186 2888372 5054651 5776744 9387209 10109302 18774418 20218604 37548836 40437208 65710463 75097672 131420926 262841852 525683704 943775551 1887551102 3775102204 6606428857 7550204408 12269082163 13212857714 24538164326 26425715428 49076328652 52851430856 85883575141 98152657304 171767150282 343534300564 687068601128