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11769542745216 = 273234132502493
BaseRepresentation
bin1010101101000100111101…
…1010100001110010000000
31112200011020200002120021120
42223101033122201302000
53020313010420321331
641010504151152240
72323215145453224
oct253211732416200
945604220076246
1011769542745216
113828487059363
1213a1024075680
13674b2b36b779
142c9912866784
15156245b4e796
hexab44f6a1c80

11769542745216 has 128 divisors (see below), whose sum is σ = 33417764231040. Its totient is φ = 3661080698880.

The previous prime is 11769542745167. The next prime is 11769542745241. The reversal of 11769542745216 is 61254724596711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11769542745216.

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 15 ways as a sum of consecutive naturals, for example, 15889135 + ... + 16613358.

It is an arithmetic number, because the mean of its divisors is an integer number (261076283055).

Almost surely, 211769542745216 is an apocalyptic number.

11769542745216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11769542745216 is an abundant number, since it is smaller than the sum of its proper divisors (21648221485824).

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

11769542745216 is a wasteful number, since it uses less digits than its factorization.

11769542745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32502574 (or 32502562 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 11769542745216 in words is "eleven trillion, seven hundred sixty-nine billion, five hundred forty-two million, seven hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 128 138 164 184 192 246 276 328 368 384 492 552 656 736 943 984 1104 1312 1472 1886 1968 2208 2624 2829 2944 3772 3936 4416 5248 5658 7544 7872 8832 11316 15088 15744 22632 30176 45264 60352 90528 120704 181056 362112 32502493 65004986 97507479 130009972 195014958 260019944 390029916 520039888 747557339 780059832 1040079776 1332602213 1495114678 1560119664 2080159552 2242672017 2665204426 2990229356 3120239328 3997806639 4160319104 4485344034 5330408852 5980458712 6240478656 7995613278 8970688068 10660817704 11960917424 12480957312 15991226556 17941376136 21321635408 23921834848 30649850899 31982453112 35882752272 42643270816 47843669696 61299701798 63964906224 71765504544 85286541632 91949552697 95687339392 122599403596 127929812448 143531009088 170573083264 183899105394 245198807192 255859624896 287062018176 367798210788 490397614384 511719249792 735596421576 980795228768 1471192843152 1961590457536 2942385686304 3923180915072 5884771372608 11769542745216