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882143004066016 = 257112417148122707
BaseRepresentation
bin1100100010010011011110110…
…0011001100000000011100000
311021200102001021200121100111011
43020210313230121200003200
51411111012333020103031
612404054522421030304
7353544504665021560
oct31044675431400340
94250361250540434
10882143004066016
11236094824413640
1282b31283255394
132bb2b961230204
14117b9d408a8da0
156beb86d48d6b1
hex3224dec6600e0

882143004066016 has 96 divisors (see below), whose sum is σ = 2166155961645312. Its totient is φ = 343549879388160.

The previous prime is 882143004065963. The next prime is 882143004066047. The reversal of 882143004066016 is 610660400341288.

It is a super-2 number, since 2×8821430040660162 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68105866 + ... + 80016841.

It is an arithmetic number, because the mean of its divisors is an integer number (22564124600472).

Almost surely, 2882143004066016 is an apocalyptic number.

It is an amenable number.

882143004066016 is an abundant number, since it is smaller than the sum of its proper divisors (1284012957579296).

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

882143004066016 is a wasteful number, since it uses less digits than its factorization.

882143004066016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148125152 (or 148125144 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 882143004066016 in words is "eight hundred eighty-two trillion, one hundred forty-three billion, four million, sixty-six thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2417 2464 4834 9668 16919 19336 26587 33838 38672 53174 67676 77344 106348 135352 186109 212696 270704 372218 425392 541408 744436 850784 1488872 2977744 5955488 148122707 296245414 592490828 1036858949 1184981656 1629349777 2073717898 2369963312 3258699554 4147435796 4739926624 6517399108 8294871592 11405448439 13034798216 16589743184 22810896878 26069596432 33179486368 45621793756 52139192864 91243587512 182487175024 358012582819 364974350048 716025165638 1432050331276 2506088079733 2864100662552 3938138411009 5012176159466 5728201325104 7876276822018 10024352318932 11456402650208 15752553644036 20048704637864 27566968877063 31505107288072 40097409275728 55133937754126 63010214576144 80194818551456 110267875508252 126020429152288 220535751016504 441071502033008 882143004066016