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11135035562640 = 24351117248106853
BaseRepresentation
bin1010001000001001001111…
…0101101101101010010000
31110102111110202220000021020
42202002103311231222100
52424414023101001030
635403210440155440
72226323363422323
oct242022365555220
943374422800236
1011135035562640
113603384315860
1212ba064a68b80
1362a04c629342
142a6d1d71c7ba
151449ab64b510
hexa2093d6da90

11135035562640 has 160 divisors (see below), whose sum is σ = 39871763865216. Its totient is φ = 2540614164480.

The previous prime is 11135035562633. The next prime is 11135035562653. The reversal of 11135035562640 is 4626553053111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11135035562592 and 11135035562601.

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, 124008547 + ... + 124098306.

Almost surely, 211135035562640 is an apocalyptic number.

11135035562640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11135035562640 is an abundant number, since it is smaller than the sum of its proper divisors (28736728302576).

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

11135035562640 is a wasteful number, since it uses less digits than its factorization.

11135035562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248106897 (or 248106891 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 11135035562640 in words is "eleven trillion, one hundred thirty-five billion, thirty-five million, five hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1870 2040 2244 2640 2805 2992 3740 4080 4488 5610 7480 8976 11220 14960 22440 44880 248106853 496213706 744320559 992427412 1240534265 1488641118 1984854824 2481068530 2729175383 2977282236 3721602795 3969709648 4217816501 4962137060 5458350766 5954564472 7443205590 8187526149 8435633002 9924274120 10916701532 11909128944 12653449503 13645876915 14886411180 16375052298 16871266004 19848548240 21089082505 21833403064 25306899006 27291753830 29772822360 32750104596 33742532008 40937630745 42178165010 43666806128 46395981511 50613798012 54583507660 59545644720 63267247515 65500209192 67485064016 81875261490 84356330020 92791963022 101227596024 109167015320 126534495030 131000418384 139187944533 163750522980 168712660040 185583926044 202455192048 218334030640 231979907555 253068990060 278375889066 327501045960 337425320080 371167852088 463959815110 506137980120 556751778132 655002091920 695939722665 742335704176 927919630220 1012275960240 1113503556264 1391879445330 1855839260440 2227007112528 2783758890660 3711678520880 5567517781320 11135035562640