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22064537673056 = 2517318811485109
BaseRepresentation
bin1010000010001010011001…
…11011100001110101100000
32220010100102120022211121002
411001011030323201311200
510343001133121014211
6114532150401251132
74435052545502114
oct501051473416540
986110376284532
1022064537673056
1170375773278aa
122584309033aa8
13c408a540c418
14563d020b5744
15283e38b4703b
hex14114cee1d60

22064537673056 has 96 divisors (see below), whose sum is σ = 47532454421760. Its totient is φ = 10036953907200.

The previous prime is 22064537673047. The next prime is 22064537673083. The reversal of 22064537673056 is 65037673546022.

It is a junction number, because it is equal to n+sod(n) for n = 22064537672992 and 22064537673010.

It is a congruent number.

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, 14114630 + ... + 15599738.

It is an arithmetic number, because the mean of its divisors is an integer number (495129733560).

Almost surely, 222064537673056 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 22064537673056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766227210880).

22064537673056 is an abundant number, since it is smaller than the sum of its proper divisors (25467916748704).

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

22064537673056 is a wasteful number, since it uses less digits than its factorization.

22064537673056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486048 (or 1486040 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 56.

The spelling of 22064537673056 in words is "twenty-two trillion, sixty-four billion, five hundred thirty-seven million, six hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 881 992 1054 1762 2108 3524 4216 7048 8432 14096 14977 16864 27311 28192 29954 54622 59908 109244 119816 218488 239632 436976 464287 479264 873952 928574 1485109 1857148 2970218 3714296 5940436 7428592 11880872 14857184 23761744 25246853 46038379 47523488 50493706 92076758 100987412 184153516 201974824 368307032 403949648 736614064 782652443 807899296 1308381029 1473228128 1565304886 2616762058 3130609772 5233524116 6261219544 10467048232 12522439088 20934096464 22242477493 25044878176 40559811899 41868192928 44484954986 81119623798 88969909972 162239247596 177939819944 324478495192 355879639888 648956990384 689516802283 711759279776 1297913980768 1379033604566 2758067209132 5516134418264 11032268836528 22064537673056