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68074134080 = 2652315161253
BaseRepresentation
bin111111011001100010…
…001101101001000000
320111201012111022111012
4333121202031221000
52103403434242310
651134532540052
74626640410131
oct773142155100
9214635438435
1068074134080
112696308a547
1211239a81628
13655b458714
14341ad37c88
151b864e3c05
hexfd988da40

68074134080 has 112 divisors (see below), whose sum is σ = 170272399104. Its totient is φ = 25872844800.

The previous prime is 68074134061. The next prime is 68074134083. The reversal of 68074134080 is 8043147086.

It is not an unprimeable number, because it can be changed into a prime (68074134083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080734 + ... + 1141986.

Almost surely, 268074134080 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 68074134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85136199552).

68074134080 is an abundant number, since it is smaller than the sum of its proper divisors (102198265024).

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

68074134080 is a wasteful number, since it uses less digits than its factorization.

68074134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61444 (or 61434 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 68074134080 in words is "sixty-eight billion, seventy-four million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 151 160 184 230 302 320 368 460 604 736 755 920 1208 1472 1510 1840 2416 3020 3473 3680 4832 6040 6946 7360 9664 12080 13892 17365 24160 27784 34730 48320 55568 61253 69460 111136 122506 138920 222272 245012 277840 306265 490024 555680 612530 980048 1111360 1225060 1408819 1960096 2450120 2817638 3920192 4900240 5635276 7044095 9249203 9800480 11270552 14088190 18498406 19600960 22541104 28176380 36996812 45082208 46246015 56352760 73993624 90164416 92492030 112705520 147987248 184984060 212731669 225411040 295974496 369968120 425463338 450822080 591948992 739936240 850926676 1063658345 1479872480 1701853352 2127316690 2959744960 3403706704 4254633380 6807413408 8509266760 13614826816 17018533520 34037067040 68074134080