Search a number
-
+
66062364676 = 227211216692
BaseRepresentation
bin111101100001100111…
…111011000000000100
320022111222222211200021
4331201213323000010
52040243431132201
650203145424524
74526041556200
oct754147730004
9208458884607
1066062364676
1126020534400
121097819b144
1362ca720319
1432a9a97b00
151ab9aa8ea1
hexf619fb004

66062364676 has 81 divisors (see below), whose sum is σ = 147909987477. Its totient is φ = 25723162080.

The previous prime is 66062364673. The next prime is 66062364689. The reversal of 66062364676 is 67646326066.

The square root of 66062364676 is 257026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35241051076 + 30821313600 = 187726^2 + 175560^2 .

It is not an unprimeable number, because it can be changed into a prime (66062364673) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 39581170 + ... + 39582838.

Almost surely, 266062364676 is an apocalyptic number.

66062364676 is the 257026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66062364676

66062364676 is an abundant number, since it is smaller than the sum of its proper divisors (81847622801).

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

66062364676 is a wasteful number, since it uses less digits than its factorization.

66062364676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 52.

The spelling of 66062364676 in words is "sixty-six billion, sixty-two million, three hundred sixty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1669 1694 2156 3338 3388 5929 6676 11683 11858 18359 23366 23716 36718 46732 73436 81781 128513 163562 201949 257026 327124 403898 514052 807796 899591 1413643 1799182 2785561 2827286 3598364 5571122 5654572 9895501 11142244 19498927 19791002 30641171 38997854 39582004 61282342 77995708 122564684 136492489 214488197 272984978 337052881 428976394 545969956 674105762 857952788 1348211524 1501417379 2359370167 3002834758 4718740334 6005669516 9437480668 16515591169 33031182338 66062364676