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64283097424 = 24713173183777
BaseRepresentation
bin111011110111100100…
…100011100101010000
320010220222222200212011
4323313210203211100
52023122433104144
645310425512304
74433665212130
oct736744434520
9203828880764
1064283097424
11252981505a7
1210560342694
1360a5c0c070
14317b65aac0
151a13798a34
hexef7923950

64283097424 has 160 divisors (see below), whose sum is σ = 167545276416. Its totient is φ = 23162388480.

The previous prime is 64283097421. The next prime is 64283097433. The reversal of 64283097424 is 42479038246.

It is a super-2 number, since 2×642830974242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64283097421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725424 + ... + 809200.

Almost surely, 264283097424 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 64283097424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83772638208).

64283097424 is an abundant number, since it is smaller than the sum of its proper divisors (103262178992).

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

64283097424 is a wasteful number, since it uses less digits than its factorization.

64283097424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83853 (or 83847 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 64283097424 in words is "sixty-four billion, two hundred eighty-three million, ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 31 34 52 56 62 68 91 104 112 119 124 136 182 208 217 221 238 248 272 364 403 434 442 476 496 527 728 806 868 884 952 1054 1456 1547 1612 1736 1768 1904 2108 2821 3094 3224 3472 3536 3689 4216 5642 6188 6448 6851 7378 8432 11284 12376 13702 14756 22568 24752 27404 29512 45136 47957 54808 59024 83777 95914 109616 167554 191828 335108 383656 586439 670216 767312 1089101 1172878 1340432 1424209 2178202 2345756 2597087 2848418 4356404 4691512 5194174 5696836 7623707 8712808 9383024 9969463 10388348 11393672 15247414 17425616 18179609 18514717 19938926 20776696 22787344 30494828 33762131 36359218 37029434 39877852 41553392 44150479 60989656 67524262 72718436 74058868 79755704 88300958 121979312 129603019 135048524 145436872 148117736 159511408 176601916 236334917 259206038 270097048 290873744 296235472 309053353 353203832 472669834 518412076 540194096 573956227 618106706 706407664 945339668 1036824152 1147912454 1236213412 1890679336 2073648304 2295824908 2472426824 3781358672 4017693589 4591649816 4944853648 8035387178 9183299632 16070774356 32141548712 64283097424