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22075661696 = 271167241971
BaseRepresentation
bin10100100011110011…
…111101110110000000
32002222111020210210212
4110203303331312000
5330202332133241
614050314013252
71411025012504
oct244363756600
962874223725
1022075661696
1193a9154410
124341117228
13210a72381a
1410d5c38304
158930c6beb
hex523cfdd80

22075661696 has 128 divisors (see below), whose sum is σ = 48945409920. Its totient is φ = 9833472000.

The previous prime is 22075661687. The next prime is 22075661749. The reversal of 22075661696 is 69616657022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22734491 + ... + 22735461.

It is an arithmetic number, because the mean of its divisors is an integer number (382386015).

Almost surely, 222075661696 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 22075661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472704960).

22075661696 is an abundant number, since it is smaller than the sum of its proper divisors (26869748224).

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

22075661696 is a wasteful number, since it uses less digits than its factorization.

22075661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 22075661696 in words is "twenty-two billion, seventy-five million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 241 268 352 482 536 704 737 964 971 1072 1408 1474 1928 1942 2144 2651 2948 3856 3884 4288 5302 5896 7712 7768 8576 10604 10681 11792 15424 15536 16147 21208 21362 23584 30848 31072 32294 42416 42724 47168 62144 64588 65057 84832 85448 94336 124288 129176 130114 169664 170896 177617 234011 258352 260228 339328 341792 355234 468022 516704 520456 683584 710468 715627 936044 1033408 1040912 1367168 1420936 1431254 1872088 2066816 2081824 2574121 2841872 2862508 3744176 4163648 5148242 5683744 5725016 7488352 8327296 10296484 11367488 11450032 14976704 15678737 20592968 22734976 22900064 29953408 31357474 41185936 45800128 62714948 82371872 91600256 125429896 164743744 172466107 250859792 329487488 344932214 501719584 689864428 1003439168 1379728856 2006878336 2759457712 5518915424 11037830848 22075661696