Search a number
-
+
12662645136 = 2435924118553
BaseRepresentation
bin10111100101100000…
…01010000110010000
31012200111000000120220
423302300022012100
5201413114121021
65452300233040
7625535464521
oct136260120620
935614000526
1012662645136
115408807789
12255483b780
13126a52533b
14881a30848
154e1a14cc6
hex2f2c0a190

12662645136 has 80 divisors (see below), whose sum is σ = 33406105920. Its totient is φ = 4131901440.

The previous prime is 12662645111. The next prime is 12662645153. The reversal of 12662645136 is 63154626621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673236 + ... + 691788.

It is an arithmetic number, because the mean of its divisors is an integer number (417576324).

Almost surely, 212662645136 is an apocalyptic number.

12662645136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12662645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703052960).

12662645136 is an abundant number, since it is smaller than the sum of its proper divisors (20743460784).

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

12662645136 is a wasteful number, since it uses less digits than its factorization.

12662645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18864 (or 18858 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 12662645136 in words is "twelve billion, six hundred sixty-two million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 241 354 472 482 708 723 944 964 1416 1446 1928 2832 2892 3856 5784 11568 14219 18553 28438 37106 42657 55659 56876 74212 85314 111318 113752 148424 170628 222636 227504 296848 341256 445272 682512 890544 1094627 2189254 3283881 4378508 4471273 6567762 8757016 8942546 13135524 13413819 17514032 17885092 26271048 26827638 35770184 52542096 53655276 71540368 107310552 214621104 263805107 527610214 791415321 1055220428 1582830642 2110440856 3165661284 4220881712 6331322568 12662645136