Search a number
-
+
12634085610 = 2325236103423
BaseRepresentation
bin10111100010000110…
…01101100011101010
31012121111021001021200
423301003031203222
5201333311214420
65445400145030
7625040645556
oct136103154352
935544231250
1012634085610
1153a3680573
122547168176
131264635c03
1487bd18866
154de272b90
hex2f10cd8ea

12634085610 has 48 divisors (see below), whose sum is σ = 34276829184. Its totient is φ = 3222606816.

The previous prime is 12634085599. The next prime is 12634085621. The reversal of 12634085610 is 1658043621.

It is a happy number.

12634085610 is a `hidden beast` number, since 1 + 2 + 6 + 34 + 0 + 8 + 5 + 610 = 666.

12634085610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12634085599) and next prime (12634085621).

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 23 ways as a sum of consecutive naturals, for example, 3049642 + ... + 3053781.

It is an arithmetic number, because the mean of its divisors is an integer number (714100608).

Almost surely, 212634085610 is an apocalyptic number.

12634085610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12634085610 is an abundant number, since it is smaller than the sum of its proper divisors (21642743574).

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

12634085610 is a wasteful number, since it uses less digits than its factorization.

12634085610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6103459 (or 6103456 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12634085610 in words is "twelve billion, six hundred thirty-four million, eighty-five thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 6103423 12206846 18310269 30517115 36620538 54930807 61034230 91551345 109861614 140378729 183102690 274654035 280757458 421136187 549308070 701893645 842272374 1263408561 1403787290 2105680935 2526817122 4211361870 6317042805 12634085610