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11029573665712 = 2475379137171679
BaseRepresentation
bin1010000010000000010111…
…0100100000001110110000
31110001102020221201112222201
42200200011310200032300
52421202031324300322
635242525521512544
72215601055200140
oct240400564401660
943042227645881
1011029573665712
113572685880758
1212a1731aa2754
13620113387234
142a1b97122920
15141d87b6bd27
hexa0805d203b0

11029573665712 has 160 divisors (see below), whose sum is σ = 25382489702400. Its totient is φ = 4545615919104.

The previous prime is 11029573665703. The next prime is 11029573665769. The reversal of 11029573665712 is 21756637592011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64159489 + ... + 64331167.

It is an arithmetic number, because the mean of its divisors is an integer number (158640560640).

Almost surely, 211029573665712 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 11029573665712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12691244851200).

11029573665712 is an abundant number, since it is smaller than the sum of its proper divisors (14352916036688).

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

11029573665712 is a wasteful number, since it uses less digits than its factorization.

11029573665712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171963 (or 171957 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 11029573665712 in words is "eleven trillion, twenty-nine billion, five hundred seventy-three million, six hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 53 56 79 106 112 137 158 212 274 316 371 424 548 553 632 742 848 959 1096 1106 1264 1484 1918 2192 2212 2968 3836 4187 4424 5936 7261 7672 8374 8848 10823 14522 15344 16748 21646 29044 29309 33496 43292 50827 58088 58618 66992 75761 86584 101654 116176 117236 151522 171679 173168 203308 234472 303044 343358 406616 468944 573619 606088 686716 813232 1147238 1201753 1212176 1373432 2294476 2403506 2746864 4015333 4588952 4807012 8030666 9098987 9177904 9614024 13562641 16061332 18197974 19228048 23520023 27125282 32122664 36395948 47040046 54250564 63692909 64245328 72791896 94080092 94938487 108501128 127385818 145583792 164640161 188160184 189876974 217002256 254771636 329280322 376320368 379753948 509543272 658560644 718819973 759507896 1019086544 1246561219 1317121288 1437639946 1519015792 1858081817 2493122438 2634242576 2875279892 3716163634 4986244876 5031739811 5750559784 7432327268 8725928533 9972489752 10063479622 11501119568 13006572719 14864654536 17451857066 19944979504 20126959244 26013145438 29729309072 34903714132 40253918488 52026290876 69807428264 80507836976 98478336301 104052581752 139614856528 196956672602 208105163504 393913345204 689348354107 787826690408 1378696708214 1575653380816 2757393416428 5514786832856 11029573665712