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1768510068 = 2231317239227
BaseRepresentation
bin110100101101001…
…0101001001110100
311120020202121201220
41221122111021310
512110214310233
6451253150340
761553042013
oct15132251164
94506677656
101768510068
11828306876
1241432b3b0
13222515b80
1412ac3aa7a
15a53d7eb3
hex69695274

1768510068 has 72 divisors (see below), whose sum is σ = 4720854432. Its totient is φ = 512134656.

The previous prime is 1768510061. The next prime is 1768510097. The reversal of 1768510068 is 8600158671.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768510061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25471 + ... + 64697.

Almost surely, 21768510068 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 1768510068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360427216).

1768510068 is an abundant number, since it is smaller than the sum of its proper divisors (2952344364).

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

1768510068 is a wasteful number, since it uses less digits than its factorization.

1768510068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39281 (or 39262 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1768510068 is about 42053.6570110139. The cubic root of 1768510068 is about 1209.3049916702.

The spelling of 1768510068 in words is "one billion, seven hundred sixty-eight million, five hundred ten thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 578 663 867 884 1156 1326 1734 2652 3468 3757 7514 11271 15028 22542 39227 45084 78454 117681 156908 235362 470724 509951 666859 1019902 1333718 1529853 2000577 2039804 2667436 3059706 4001154 6119412 8002308 8669167 11336603 17338334 22673206 26007501 34009809 34676668 45346412 52015002 68019618 104030004 136039236 147375839 294751678 442127517 589503356 884255034 1768510068