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16779822009090 = 2357837753124171
BaseRepresentation
bin1111010000101101101101…
…0101001000101100000010
32012102010122122110101211120
43310023123111020230002
54144410033413242330
655404313244053110
73351205426513620
oct364133325105402
965363578411746
1016779822009090
11538a312090a18
121a70060534196
1394943ac3a79a
1442020d4a8510
151e17359e3c10
hexf42db548b02

16779822009090 has 128 divisors (see below), whose sum is σ = 46585551624192. Its totient is φ = 3788659146240.

The previous prime is 16779822009043. The next prime is 16779822009101. The reversal of 16779822009090 is 9090022897761.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135072705 + ... + 135196875.

It is an arithmetic number, because the mean of its divisors is an integer number (363949622064).

Almost surely, 216779822009090 is an apocalyptic number.

16779822009090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16779822009090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292775812096).

16779822009090 is an abundant number, since it is smaller than the sum of its proper divisors (29805729615102).

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

16779822009090 is a wasteful number, since it uses less digits than its factorization.

16779822009090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132024.

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 16779822009090 in words is "sixteen trillion, seven hundred seventy-nine billion, eight hundred twenty-two million, nine thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 7753 8715 15506 17430 23259 38765 46518 54271 77530 108542 116295 124171 162813 232590 248342 271355 325626 372513 542710 620855 643499 745026 814065 869197 1241710 1286998 1628130 1738394 1862565 1930497 2607591 3217495 3725130 3860994 4345985 4504493 5215182 6434990 8691970 9008986 9652485 10306193 13037955 13513479 19304970 20612386 22522465 26075910 27026958 30918579 45044930 51530965 61837158 67567395 72143351 103061930 135134790 144286702 154592895 216430053 309185790 360716755 432860106 721433510 962697763 1082150265 1925395526 2164300530 2888093289 4813488815 5776186578 6738884341 9626977630 13477768682 14440466445 20216653023 28880932890 33694421705 40433306046 67388843410 79903914329 101083265115 159807828658 202166530230 239711742987 399519571645 479423485974 559327400303 799039143290 1118654800606 1198558714935 1677982200909 2397117429870 2796637001515 3355964401818 5593274003030 8389911004545 16779822009090