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68019769636 = 227213214332
BaseRepresentation
bin111111010110010010…
…110101000100100100
320111120102012022111021
4333112102311010210
52103301030112021
651125311420524
74625410334200
oct772622650444
9214512168437
1068019769636
1126935428755
1211223824744
136550102900
143413a25b00
151b81855c41
hexfd64b5124

68019769636 has 81 divisors (see below), whose sum is σ = 150044312691. Its totient is φ = 26890141824.

The previous prime is 68019769619. The next prime is 68019769637. The reversal of 68019769636 is 63696791086.

The square root of 68019769636 is 260806.

It is a perfect power (a square), and thus also a powerful number.

68019769636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65707236 + 67954062400 = 8106^2 + 260680^2 .

It is a super-2 number, since 2×680197696362 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68019769637) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47465976 + ... + 47467408.

Almost surely, 268019769636 is an apocalyptic number.

68019769636 is the 260806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68019769636

68019769636 is an abundant number, since it is smaller than the sum of its proper divisors (82024543055).

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

68019769636 is a wasteful number, since it uses less digits than its factorization.

68019769636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 68019769636 in words is "sixty-eight billion, nineteen million, seven hundred sixty-nine thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1433 2366 2548 2866 4732 5732 8281 10031 16562 18629 20062 33124 37258 40124 70217 74516 130403 140434 242177 260806 280868 484354 521612 912821 968708 1695239 1825642 2053489 3390478 3651284 4106978 6780956 8213956 11866673 14374423 23733346 26695357 28748846 47466692 53390714 57497692 100620961 106781428 186867499 201241922 347039641 373734998 402483844 694079282 747469996 1308072493 1388158564 2429277487 2616144986 4858554974 5232289972 9717109948 17004942409 34009884818 68019769636