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64747673748264 = 233134911543273919
BaseRepresentation
bin11101011100011001111100…
…00110000000001100101000
322111020211001201010221210110
432232030332012000030220
531441311213434421024
6345412400511414320
716431602500102023
oct1656147606001450
9274224051127713
1064747673748264
11196a3374954021
127318648b243a0
132a188aa949850
1411dbb387681ba
15774380150629
hex3ae33e180328

64747673748264 has 128 divisors (see below), whose sum is σ = 174789535334400. Its totient is φ = 19868828394240.

The previous prime is 64747673748253. The next prime is 64747673748269. The reversal of 64747673748264 is 46284737674746.

It is a super-2 number, since 2×647476737482642 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64747673748269) 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, 236238297 + ... + 236512215.

It is an arithmetic number, because the mean of its divisors is an integer number (1365543244800).

Almost surely, 264747673748264 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 64747673748264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87394767667200).

64747673748264 is an abundant number, since it is smaller than the sum of its proper divisors (110041861586136).

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

64747673748264 is a wasteful number, since it uses less digits than its factorization.

64747673748264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275975 (or 275971 counting only the distinct ones).

The product of its digits is 6372753408, while the sum is 75.

The spelling of 64747673748264 in words is "sixty-four trillion, seven hundred forty-seven billion, six hundred seventy-three million, seven hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 491 982 1473 1543 1964 2946 3086 3928 4629 5892 6172 6383 9258 11784 12344 12766 18516 19149 20059 25532 37032 38298 40118 51064 60177 76596 80236 120354 153192 160472 240708 273919 481416 547838 757613 821757 1095676 1515226 1643514 2191352 2272839 3030452 3287028 3560947 4545678 6060904 6574056 7121894 9091356 9848969 10682841 14243788 18182712 19697938 21365682 28487576 29546907 39395876 42731364 59093814 78791752 85462728 118187628 134494229 236375256 268988458 403482687 422657017 537976916 806965374 845314034 1075953832 1267971051 1613930748 1690628068 1748424977 2535942102 3227861496 3381256136 3496849954 5071884204 5245274931 5494541221 6993699908 10143768408 10490549862 10989082442 13987399816 16483623663 20981099724 21978164884 32967247326 41962199448 43956329768 65934494652 131868989304 207524595347 415049190694 622573786041 830098381388 1245147572082 1660196762776 2490295144164 2697819739511 4980590288328 5395639479022 8093459218533 10791278958044 16186918437066 21582557916088 32373836874132 64747673748264