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64014906438 = 232721910337087
BaseRepresentation
bin111011100111100101…
…011111010001000110
320010020022100011222200
4323213211133101012
52022100304001223
645224045335330
74424230504200
oct734745372106
9203208304880
1064014906438
112516a82275a
12104a6567546
13606249a782
143153ba7770
1519e9e6ea43
hexee795f446

64014906438 has 144 divisors (see below), whose sum is σ = 171488977920. Its totient is φ = 17158653792.

The previous prime is 64014906437. The next prime is 64014906451. The reversal of 64014906438 is 83460941046.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64014906393 and 64014906402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64014906437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1707531 + ... + 1744617.

It is an arithmetic number, because the mean of its divisors is an integer number (1190895680).

Almost surely, 264014906438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64014906438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85744488960).

64014906438 is an abundant number, since it is smaller than the sum of its proper divisors (107474071482).

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

64014906438 is a wasteful number, since it uses less digits than its factorization.

64014906438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37231 (or 37221 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 64014906438 in words is "sixty-four billion, fourteen million, nine hundred six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 103 114 126 133 147 171 206 266 294 309 342 399 441 618 721 798 882 927 931 1197 1442 1854 1862 1957 2163 2394 2793 3914 4326 5047 5586 5871 6489 8379 10094 11742 12978 13699 15141 16758 17613 27398 30282 35226 37087 41097 45423 74174 82194 90846 95893 111261 123291 191786 222522 246582 259609 287679 333783 519218 575358 667566 704653 778827 863037 1409306 1557654 1726074 1817263 2113959 2336481 3634526 3819961 4227918 4672962 4932571 5451789 6341877 7639922 9865142 10903578 11459883 12683754 14797713 16355367 22919766 26739727 29595426 32710734 34379649 34527997 44393139 53479454 68759298 69055994 72579259 80219181 88786278 103583991 145158518 160438362 187178089 207167982 217737777 240657543 310751973 374356178 435475554 481315086 508054813 561534267 621503946 653213331 1016109626 1123068534 1306426662 1524164439 1684602801 3048328878 3369205602 3556383691 4572493317 7112767382 9144986634 10669151073 21338302146 32007453219 64014906438