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12518700769 = 12728812
BaseRepresentation
bin10111010100010110…
…00011011011100001
31012022110010220001001
423222023003123201
5201114241411034
65430115112001
7622140125611
oct135213033341
935273126031
1012518700769
1153445311a3
1225145a2601
131246766863
1486a880a41
154d407ea14
hex2ea2c36e1

12518700769 has 9 divisors (see below), whose sum is σ = 12632388051. Its totient is φ = 12406030560.

The previous prime is 12518700763. The next prime is 12518700823. The reversal of 12518700769 is 96700781521.

It is a happy number.

The square root of 12518700769 is 111887.

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

12518700769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2196140769 + 10322560000 = 46863^2 + 101600^2 .

It is not a de Polignac number, because 12518700769 - 223 = 12510312161 is a prime.

It is a super-3 number, since 3×125187007693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12518700763) 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 8 ways as a sum of consecutive naturals, for example, 14209209 + ... + 14210089.

Almost surely, 212518700769 is an apocalyptic number.

12518700769 is the 111887-th square number.

12518700769 is the 55944-th centered octagonal number.

It is an amenable number.

12518700769 is a deficient number, since it is larger than the sum of its proper divisors (113687282).

12518700769 is an frugal number, since it uses more digits than its factorization.

12518700769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 12518700769 in words is "twelve billion, five hundred eighteen million, seven hundred thousand, seven hundred sixty-nine".

Divisors: 1 127 881 16129 111887 776161 14209649 98572447 12518700769