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12772130064 = 243971274033
BaseRepresentation
bin10111110010100011…
…10011110100010000
31012222010000102200020
423321101303310100
5202124131130224
65511211023440
7631335212541
oct137121636420
935863012606
1012772130064
1154645973a1
12258543ab80
13128710a115
148923b04c8
154eb43ec79
hex2f9473d10

12772130064 has 40 divisors (see below), whose sum is σ = 33028769952. Its totient is φ = 4252976640.

The previous prime is 12772130051. The next prime is 12772130101. The reversal of 12772130064 is 46003127721.

12772130064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 90409 + ... + 183624.

Almost surely, 212772130064 is an apocalyptic number.

It is an amenable number.

12772130064 is an abundant number, since it is smaller than the sum of its proper divisors (20256639888).

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

12772130064 is a wasteful number, since it uses less digits than its factorization.

12772130064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275015 (or 275009 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 12772130064 its reverse (46003127721), we get a palindrome (58775257785).

The spelling of 12772130064 in words is "twelve billion, seven hundred seventy-two million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 971 1942 2913 3884 5826 7768 11652 15536 23304 46608 274033 548066 822099 1096132 1644198 2192264 3288396 4384528 6576792 13153584 266086043 532172086 798258129 1064344172 1596516258 2128688344 3193032516 4257376688 6386065032 12772130064