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20969691266816 = 282913137956891
BaseRepresentation
bin1001100010010011000101…
…11111111011111100000000
32202020200102211122202110022
410301021202333323330000
510222031411431014231
6112333202043153012
74263003332550215
oct461114277737400
982220384582408
1020969691266816
116755218050106
122428097215768
13b9158324c616
14526d1d251b0c
1526570a83bc7b
hex131262ffbf00

20969691266816 has 144 divisors (see below), whose sum is σ = 43747262697600. Its totient is φ = 10019339366400.

The previous prime is 20969691266807. The next prime is 20969691266861. The reversal of 20969691266816 is 61866219696902.

It is a self number, because there is not a number n which added to its sum of digits gives 20969691266816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368565731 + ... + 368622621.

It is an arithmetic number, because the mean of its divisors is an integer number (303800435400).

Almost surely, 220969691266816 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 20969691266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873631348800).

20969691266816 is an abundant number, since it is smaller than the sum of its proper divisors (22777571430784).

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

20969691266816 is a wasteful number, since it uses less digits than its factorization.

20969691266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57446 (or 57432 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 71.

The spelling of 20969691266816 in words is "twenty trillion, nine hundred sixty-nine billion, six hundred ninety-one million, two hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 131 232 256 262 379 464 524 758 928 1048 1516 1856 2096 3032 3712 3799 4192 6064 7424 7598 8384 10991 12128 15196 16768 21982 24256 30392 33536 43964 48512 49649 56891 60784 87928 97024 99298 113782 121568 175856 198596 227564 243136 351712 397192 455128 486272 703424 794384 910256 972544 1406848 1439821 1588768 1649839 1820512 2813696 2879642 3177536 3299678 3641024 5759284 6355072 6599356 7282048 7452721 11518568 12710144 13198712 14564096 14905442 21561689 23037136 26397424 29810884 43123378 46074272 52794848 59621768 86246756 92148544 105589696 119243536 172493512 184297088 211179392 216128909 238487072 344987024 368594176 422358784 432257818 476974144 625288981 689974048 864515636 953948288 1250577962 1379948096 1729031272 1907896576 2501155924 2759896192 2824581259 3458062544 5002311848 5519792384 5649162518 6916125088 10004623696 11298325036 13832250176 20009247392 22596650072 27664500352 40018494784 45193300144 55329000704 80036989568 81912856511 90386600288 160073979136 163825713022 180773200576 327651426044 361546401152 655302852088 723092802304 1310605704176 2621211408352 5242422816704 10484845633408 20969691266816