Search a number
-
+
2666438064 = 243291920149
BaseRepresentation
bin1001111011101110…
…1001110110110000
320212211101002101100
42132323221312300
520430102004224
61120331004400
7123035230623
oct23673516660
96784332340
102666438064
111149153424
12624b99700
13336565404
141b41b7dba
15109155ac9
hex9eee9db0

2666438064 has 60 divisors (see below), whose sum is σ = 7470814000. Its totient is φ = 887801472.

The previous prime is 2666438063. The next prime is 2666438081. The reversal of 2666438064 is 4608346662.

It is not an unprimeable number, because it can be changed into a prime (2666438063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122262 + ... + 142410.

Almost surely, 22666438064 is an apocalyptic number.

2666438064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2666438064 is an abundant number, since it is smaller than the sum of its proper divisors (4804375936).

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

2666438064 is a wasteful number, since it uses less digits than its factorization.

2666438064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21082 (or 21073 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 2666438064 is about 51637.5644661907. The cubic root of 2666438064 is about 1386.6829215098.

The spelling of 2666438064 in words is "two billion, six hundred sixty-six million, four hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 919 1838 2757 3676 5514 7352 8271 11028 14704 16542 20149 22056 33084 40298 44112 60447 66168 80596 120894 132336 161192 181341 241788 322384 362682 483576 725364 967152 1450728 2901456 18516931 37033862 55550793 74067724 111101586 148135448 166652379 222203172 296270896 333304758 444406344 666609516 888812688 1333219032 2666438064