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12934762440 = 2335206352249
BaseRepresentation
bin11000000101111100…
…01100111111001000
31020101110001000100120
430002332030333020
5202442244344230
65535300503240
7635351444445
oct140276147710
936343030316
1012934762440
115538377516
12260b9aab20
1312b1a0cab2
148a9c269cc
1550a867310
hex302f8cfc8

12934762440 has 64 divisors (see below), whose sum is σ = 38823840000. Its totient is φ = 3447532032.

The previous prime is 12934762429. The next prime is 12934762453. The reversal of 12934762440 is 4426743921.

12934762440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12934762392 and 12934762401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221436 + ... + 273684.

It is an arithmetic number, because the mean of its divisors is an integer number (606622500).

Almost surely, 212934762440 is an apocalyptic number.

12934762440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12934762440 is an abundant number, since it is smaller than the sum of its proper divisors (25889077560).

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

12934762440 is a wasteful number, since it uses less digits than its factorization.

12934762440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54326 (or 54322 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12934762440 in words is "twelve billion, nine hundred thirty-four million, seven hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2063 4126 6189 8252 10315 12378 16504 20630 24756 30945 41260 49512 52249 61890 82520 104498 123780 156747 208996 247560 261245 313494 417992 522490 626988 783735 1044980 1253976 1567470 2089960 3134940 6269880 107789687 215579374 323369061 431158748 538948435 646738122 862317496 1077896870 1293476244 1616845305 2155793740 2586952488 3233690610 4311587480 6467381220 12934762440