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12640279986 = 2331923831693
BaseRepresentation
bin10111100010110101…
…10101110110110010
31012121220220202101000
423301122311312302
5201341402424421
65450141022430
7625144415145
oct136132656662
935556822330
1012640279986
1153a7121494
122549254a16
1312659c4519
1487ca8c05c
154dea98226
hex2f16b5db2

12640279986 has 96 divisors (see below), whose sum is σ = 29740677120. Its totient is φ = 3978893664.

The previous prime is 12640279973. The next prime is 12640279999. The reversal of 12640279986 is 68997204621.

It is an interprime number because it is at equal distance from previous prime (12640279973) and next prime (12640279999).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7465356 + ... + 7467048.

It is an arithmetic number, because the mean of its divisors is an integer number (309798720).

Almost surely, 212640279986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640279986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870338560).

12640279986 is an abundant number, since it is smaller than the sum of its proper divisors (17100397134).

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

12640279986 is a wasteful number, since it uses less digits than its factorization.

12640279986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12640279986 in words is "twelve billion, six hundred forty million, two hundred seventy-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 383 513 722 766 1026 1083 1149 1693 2166 2298 3249 3386 3447 5079 6498 6894 7277 9747 10158 10341 14554 15237 19494 20682 21831 30474 32167 43662 45711 64334 65493 91422 96501 130986 138263 193002 196479 276526 289503 392958 414789 579006 611173 648419 829578 868509 1222346 1244367 1296838 1737018 1833519 1945257 2488734 3667038 3733101 3890514 5500557 5835771 7466202 11001114 11671542 12319961 16501671 17507313 24639922 33003342 35014626 36959883 73919766 110879649 221759298 234079259 332638947 468158518 665277894 702237777 1404475554 2106713331 4213426662 6320139993 12640279986