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76643041000 = 23534711314431
BaseRepresentation
bin100011101100001000…
…1111111111011101000
321022211101101212222011
41013120101333323220
52223431104303000
655113114205304
75352200046061
oct1073021777350
9238741355864
1076643041000
112a55aaa90a9
1212a2b723834
1372c57cba46
1439d0db3568
151ed89192ba
hex11d847fee8

76643041000 has 128 divisors (see below), whose sum is σ = 184794255360. Its totient is φ = 29737344000.

The previous prime is 76643040977. The next prime is 76643041001. The reversal of 76643041000 is 14034667.

It is not an unprimeable number, because it can be changed into a prime (76643041001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5303785 + ... + 5318215.

It is an arithmetic number, because the mean of its divisors is an integer number (1443705120).

Almost surely, 276643041000 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 76643041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92397127680).

76643041000 is an abundant number, since it is smaller than the sum of its proper divisors (108151214360).

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

76643041000 is a wasteful number, since it uses less digits than its factorization.

76643041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 76643041000 its reverse (14034667), we get a palindrome (76657075667).

The spelling of 76643041000 in words is "seventy-six billion, six hundred forty-three million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 113 125 188 200 226 235 250 376 452 470 500 565 904 940 1000 1130 1175 1880 2260 2350 2825 4520 4700 5311 5650 5875 9400 10622 11300 11750 14125 14431 21244 22600 23500 26555 28250 28862 42488 47000 53110 56500 57724 72155 106220 113000 115448 132775 144310 212440 265550 288620 360775 531100 577240 663875 678257 721550 1062200 1327750 1356514 1443100 1630703 1803875 2655500 2713028 2886200 3261406 3391285 3607750 5311000 5426056 6522812 6782570 7215500 8153515 13045624 13565140 14431000 16307030 16956425 27130280 32614060 33912850 40767575 65228120 67825700 76643041 81535150 84782125 135651400 153286082 163070300 169564250 203837875 306572164 326140600 339128500 383215205 407675750 613144328 678257000 766430410 815351500 1532860820 1630703000 1916076025 3065721640 3832152050 7664304100 9580380125 15328608200 19160760250 38321520500 76643041000