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2206105894944 = 253271957594661
BaseRepresentation
bin100000000110100110001…
…010001000000000100000
321210220100022110010200200
4200012212022020000200
5242121101102114234
64405245425345200
7315246234464040
oct40064612100040
97726308403620
102206105894944
117806712a0256
122b7684498200
1313005b878023
1478ac1867720
153c5bc505d99
hex201a6288020

2206105894944 has 144 divisors (see below), whose sum is σ = 7547204508480. Its totient is φ = 597141434880.

The previous prime is 2206105894873. The next prime is 2206105894991. The reversal of 2206105894944 is 4494985016022.

2206105894944 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 10 + 589 + 4 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28759027 + ... + 28835634.

It is an arithmetic number, because the mean of its divisors is an integer number (52411142420).

Almost surely, 22206105894944 is an apocalyptic number.

2206105894944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2206105894944 is an abundant number, since it is smaller than the sum of its proper divisors (5341098613536).

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

2206105894944 is a wasteful number, since it uses less digits than its factorization.

2206105894944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57594703 (or 57594692 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2206105894944 in words is "two trillion, two hundred six billion, one hundred five million, eight hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 57594661 115189322 172783983 230378644 345567966 403162627 460757288 518351949 691135932 806325254 921514576 1036703898 1094298559 1209487881 1382271864 1612650508 1843029152 2073407796 2188597118 2418975762 2764543728 3225301016 3282895677 3628463643 4146815592 4377194236 4837951524 5529087456 6450602032 6565791354 7256927286 7660089913 8293631184 8754388472 9675903048 9848687031 12901204064 13131582708 14513854572 15320179826 16587262368 17508776944 19351806096 19697374062 22980269739 26263165416 29027709144 30640359652 35017553888 38703612192 39394748124 45960539478 52526330832 58055418288 61280719304 68940809217 78789496248 91921078956 105052661664 116110836576 122561438608 137881618434 157578992496 183842157912 245122877216 275763236868 315157984992 367684315824 551526473736 735368631648 1103052947472 2206105894944