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6439580080416 = 253277940433369
BaseRepresentation
bin101110110110101010011…
…1000100001100100100000
3211210121200102000100000100
41131231110320201210200
51321001230000033131
621410145141422400
71233146540355510
oct135552470414440
924717612010010
106439580080416
11206301309200a
1288004a40aa00
13379332a56462
1418396a891840
15b279556c7e6
hex5db54e21920

6439580080416 has 144 divisors (see below), whose sum is σ = 21193555219200. Its totient is φ = 1816590357504.

The previous prime is 6439580080411. The next prime is 6439580080441. The reversal of 6439580080416 is 6140800859346.

6439580080416 is a `hidden beast` number, since 6 + 43 + 9 + 580 + 0 + 8 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×64395800804162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6439580080411) 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 23 ways as a sum of consecutive naturals, for example, 20057421 + ... + 20375948.

It is an arithmetic number, because the mean of its divisors is an integer number (147177466800).

Almost surely, 26439580080416 is an apocalyptic number.

It is an amenable number.

6439580080416 is an abundant number, since it is smaller than the sum of its proper divisors (14753975138784).

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

6439580080416 is a wasteful number, since it uses less digits than its factorization.

6439580080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40433471 (or 40433460 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6439580080416 in words is "six trillion, four hundred thirty-nine billion, five hundred eighty million, eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 17696 19908 22752 26544 39816 53088 79632 159264 40433369 80866738 121300107 161733476 242600214 283033583 323466952 363900321 485200428 566067166 646933904 727800642 849100749 970400856 1132134332 1293867808 1455601284 1698201498 1940801712 2264268664 2547302247 2911202568 3194236151 3396402996 3881603424 4528537328 5094604494 5822405136 6388472302 6792805992 9057074656 9582708453 10189208988 11644810272 12776944604 13585611984 19165416906 20378417976 22359653057 25553889208 27171223968 28748125359 38330833812 40756835952 44719306114 51107778416 57496250718 67078959171 76661667624 81513671904 89438612228 102215556832 114992501436 134157918342 153323335248 178877224456 201236877513 229985002872 268315836684 306646670496 357754448912 402473755026 459970005744 536631673368 715508897824 804947510052 919940011488 1073263346736 1609895020104 2146526693472 3219790040208 6439580080416