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6416798660944 = 2472353177726449
BaseRepresentation
bin101110101100000011100…
…0000010011100101010000
3211201102212201202022112121
41131120013000103211100
51320113100424122234
621351500412504024
71231412152451110
oct135300700234520
924642781668477
106416798660944
112054392616411
12877750a7b014
133771420588a9
14182809021040
15b1db05374b4
hex5d607013950

6416798660944 has 160 divisors (see below), whose sum is σ = 15115207564800. Its totient is φ = 2579307134976.

The previous prime is 6416798660827. The next prime is 6416798660989. The reversal of 6416798660944 is 4490668976146.

It is a super-2 number, since 2×64167986609442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242597032 + ... + 242623480.

It is an arithmetic number, because the mean of its divisors is an integer number (94470047280).

Almost surely, 26416798660944 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 6416798660944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557603782400).

6416798660944 is an abundant number, since it is smaller than the sum of its proper divisors (8698408903856).

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

6416798660944 is a wasteful number, since it uses less digits than its factorization.

6416798660944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28317 (or 28311 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 70.

The spelling of 6416798660944 in words is "six trillion, four hundred sixteen billion, seven hundred ninety-eight million, six hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 53 56 92 106 112 161 184 212 322 368 371 424 644 742 848 1219 1288 1484 1777 2438 2576 2968 3554 4876 5936 7108 8533 9752 12439 14216 17066 19504 24878 26449 28432 34132 40871 49756 52898 68264 81742 94181 99512 105796 136528 163484 185143 188362 199024 211592 286097 326968 370286 376724 423184 572194 608327 653936 659267 740572 753448 1144388 1216654 1318534 1401797 1481144 1506896 2166163 2288776 2433308 2637068 2803594 2962288 4258289 4332326 4577552 4866616 5274136 5607188 8516578 8664652 9733232 9812579 10548272 11214376 15163141 17033156 17329304 19625158 22428752 30326282 32241331 34066312 34658608 39250316 46999873 60652564 64482662 68132624 78500632 93999746 121305128 128965324 157001264 187999492 225689317 242610256 257930648 328999111 375998984 451378634 515861296 657998222 751997968 902757268 1080997079 1315996444 1805514536 2161994158 2490993269 2631992888 3611029072 4323988316 4981986538 5263985776 7566979553 8647976632 9963973076 15133959106 17295953264 17436952883 19927946152 30267918212 34873905766 39855892304 57292845187 60535836424 69747811532 114585690374 121071672848 139495623064 229171380748 278991246128 401049916309 458342761496 802099832618 916685522992 1604199665236 3208399330472 6416798660944