Search a number
-
+
12889473942480 = 2435392913669163
BaseRepresentation
bin1011101110010001000010…
…0001000000001111010000
31200122012222121020001122120
42323210100201000033100
53142140120312124410
643225201555334240
72500143115535502
oct273442041001720
950565877201576
1012889473942480
11411a439015903
1215420968b1380
1372661a4b1a95
14327bd5025d72
151754412ca570
hexbb9108403d0

12889473942480 has 80 divisors (see below), whose sum is σ = 39967542002880. Its totient is φ = 3436317973504.

The previous prime is 12889473942479. The next prime is 12889473942511. The reversal of 12889473942480 is 8424937498821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×128894739424802 (a number of 27 digits) contains 22 as substring.

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, 5891622 + ... + 7777541.

It is an arithmetic number, because the mean of its divisors is an integer number (499594275036).

Almost surely, 212889473942480 is an apocalyptic number.

12889473942480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12889473942480 is an abundant number, since it is smaller than the sum of its proper divisors (27078068060400).

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

12889473942480 is a wasteful number, since it uses less digits than its factorization.

12889473942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673108 (or 13673102 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 69.

The spelling of 12889473942480 in words is "twelve trillion, eight hundred eighty-nine billion, four hundred seventy-three million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3929 7858 11787 15716 19645 23574 31432 39290 47148 58935 62864 78580 94296 117870 157160 188592 235740 314320 471480 942960 13669163 27338326 41007489 54676652 68345815 82014978 109353304 136691630 164029956 205037445 218706608 273383260 328059912 410074890 546766520 656119824 820149780 1093533040 1640299560 3280599120 53706141427 107412282854 161118424281 214824565708 268530707135 322236848562 429649131416 537061414270 644473697124 805592121405 859298262832 1074122828540 1288947394248 1611184242810 2148245657080 2577894788496 3222368485620 4296491314160 6444736971240 12889473942480