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68130932659040 = 25517121720581871
BaseRepresentation
bin11110111110110111110000…
…00010100001001101100000
322221020020211211200011010202
433133123320002201031200
532412224122230042130
6400522530211444332
720231204011252616
oct1737337002411540
9287206754604122
1068130932659040
111a788191352a69
1277842935b66a8
132c02947636c14
1412b77aa29d6b6
157d23966aa145
hex3df6f80a1360

68130932659040 has 96 divisors (see below), whose sum is σ = 170567571533184. Its totient is φ = 25628215214080.

The previous prime is 68130932659037. The next prime is 68130932659043. The reversal of 68130932659040 is 4095623903186.

It is a happy number.

68130932659040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68130932659037) and next prime (68130932659043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68130932659043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6980696 + ... + 13601175.

It is an arithmetic number, because the mean of its divisors is an integer number (1776745536804).

Almost surely, 268130932659040 is an apocalyptic number.

It is an amenable number.

68130932659040 is an abundant number, since it is smaller than the sum of its proper divisors (102436638874144).

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

68130932659040 is a wasteful number, since it uses less digits than its factorization.

68130932659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20583120 (or 20583112 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 68130932659040 in words is "sixty-eight trillion, one hundred thirty billion, nine hundred thirty-two million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1217 1360 2434 2720 4868 6085 9736 12170 19472 20689 24340 38944 41378 48680 82756 97360 103445 165512 194720 206890 331024 413780 662048 827560 1655120 3310240 20581871 41163742 82327484 102909355 164654968 205818710 329309936 349891807 411637420 658619872 699783614 823274840 1399567228 1646549680 1749459035 2799134456 3293099360 3498918070 5598268912 6997836140 11196537824 13995672280 25048137007 27991344560 50096274014 55982689120 100192548028 125240685035 200385096056 250481370070 400770192112 425818329119 500962740140 801540384224 851636658238 1001925480280 1703273316476 2003850960560 2129091645595 3406546632952 4007701921120 4258183291190 6813093265904 8516366582380 13626186531808 17032733164760 34065466329520 68130932659040