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11652620431792 = 2429532694873617
BaseRepresentation
bin1010100110010001011001…
…0011010011000110110000
31112020222110011010122001211
42221210112103103012300
53011404031312304132
640441050120205504
72311605540263044
oct251442623230660
945228404118054
1011652620431792
1137929374a576a
121382433009894
13666ab6999022
142c3dc018a024
151531a0e86147
hexa99164d31b0

11652620431792 has 160 divisors (see below), whose sum is σ = 23940259689600. Its totient is φ = 5485937393664.

The previous prime is 11652620431769. The next prime is 11652620431831. The reversal of 11652620431792 is 29713402625611.

It is an unprimeable number.

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, 3221623968 + ... + 3221627584.

It is an arithmetic number, because the mean of its divisors is an integer number (149626623060).

Almost surely, 211652620431792 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 11652620431792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970129844800).

11652620431792 is an abundant number, since it is smaller than the sum of its proper divisors (12287639257808).

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

11652620431792 is a wasteful number, since it uses less digits than its factorization.

11652620431792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 11652620431792 in words is "eleven trillion, six hundred fifty-two billion, six hundred twenty million, four hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 269 424 464 487 538 848 974 1076 1537 1948 2152 3074 3617 3896 4304 6148 7234 7792 7801 12296 14123 14257 14468 15602 24592 25811 28246 28514 28936 31204 51622 56492 57028 57872 62408 103244 104893 112984 114056 124816 131003 191701 206488 209786 225968 228112 262006 383402 412976 413453 419572 524012 748519 766804 826906 839144 972973 1048024 1497038 1533608 1653812 1678288 1761479 1945946 2096048 2994076 3067216 3307624 3522958 3799087 3891892 5559329 5988152 6615248 6943159 7045916 7598174 7783784 11118658 11976304 13886318 14091832 15196348 15567568 22237316 27772636 28183664 28216217 30392696 44474632 51082891 51567569 55545272 56432434 60785392 88949264 93358387 102165782 103135138 111090544 112864868 186716774 201351611 204331564 206270276 225729736 373433548 402703222 408663128 412540552 451459472 473837851 746867096 805406444 817326256 825081104 947675702 1493734192 1495459501 1610812888 1895351404 2707393223 2990919002 3221625776 3790702808 5414786446 5981838004 7581405616 10829572892 11963676008 13741297679 21659145784 23927352016 25113406103 27482595358 43318291568 50226812206 54965190716 100453624412 109930381432 200907248824 219860762864 401814497648 728288776987 1456577553974 2913155107948 5826310215896 11652620431792