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12948663476 = 2271934497057
BaseRepresentation
bin11000000111100110…
…01110110010110100
31020102102012020222202
430003303032302310
5203004324212401
65540514444032
7635610552320
oct140363166264
936372166882
1012948663476
115545201581
122614593618
1312b4869168
148aba04980
1550bbb106b
hex303ccecb4

12948663476 has 48 divisors (see below), whose sum is σ = 27272112000. Its totient is φ = 5255083008.

The previous prime is 12948663463. The next prime is 12948663491. The reversal of 12948663476 is 67436684921.

12948663476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×129486634763 (a number of 31 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831340 + ... + 1838396.

It is an arithmetic number, because the mean of its divisors is an integer number (568169000).

Almost surely, 212948663476 is an apocalyptic number.

It is an amenable number.

12948663476 is an abundant number, since it is smaller than the sum of its proper divisors (14323448524).

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

12948663476 is a wasteful number, since it uses less digits than its factorization.

12948663476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10534 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The spelling of 12948663476 in words is "twelve billion, nine hundred forty-eight million, six hundred sixty-three thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 3449 6898 7057 13796 14114 24143 28228 48286 49399 65531 96572 98798 131062 134083 197596 262124 268166 458717 536332 917434 938581 1834868 1877162 3754324 24339593 48679186 97358372 170377151 340754302 462452267 681508604 924904534 1849809068 3237165869 6474331738 12948663476