Search a number
-
+
12706931247192 = 23327131939397321
BaseRepresentation
bin1011100011101001000000…
…0111111000100001011000
31122222202210212221100012100
42320322100013320201120
53131142243344402232
643005252244043400
72451021413324550
oct270722007704130
948882725840170
1012706931247192
114059a85469066
121512831693560
13712348b3c810
1431d039664160
1517080a760c7c
hexb8e901f8858

12706931247192 has 96 divisors (see below), whose sum is σ = 42356437512480. Its totient is φ = 3351278568960.

The previous prime is 12706931247187. The next prime is 12706931247209. The reversal of 12706931247192 is 29174213960721.

12706931247192 is a `hidden beast` number, since 1 + 2 + 70 + 6 + 9 + 3 + 12 + 471 + 92 = 666.

It is a super-2 number, since 2×127069312471922 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 969692109 + ... + 969705212.

It is an arithmetic number, because the mean of its divisors is an integer number (441212890755).

Almost surely, 212706931247192 is an apocalyptic number.

12706931247192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12706931247192 is an abundant number, since it is smaller than the sum of its proper divisors (29649506265288).

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

12706931247192 is a wasteful number, since it uses less digits than its factorization.

12706931247192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939397353 (or 1939397346 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12706931247192 in words is "twelve trillion, seven hundred six billion, nine hundred thirty-one million, two hundred forty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 1939397321 3878794642 5818191963 7757589284 11636383926 13575781247 15515178568 17454575889 23272767852 25212165173 27151562494 34909151778 40727343741 46545535704 50424330346 54303124988 69818303556 75636495519 81454687482 100848660692 108606249976 122182031223 139636607112 151272991038 162909374964 176485156211 201697321384 226909486557 244364062446 302545982076 325818749928 352970312422 453818973114 488728124892 529455468633 605091964152 705940624844 907637946228 977456249784 1058910937266 1411881249688 1588366405899 1815275892456 2117821874532 3176732811798 4235643749064 6353465623596 12706931247192