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1238873624209 = 132856192
BaseRepresentation
bin10010000001110010100…
…111110100111010010001
311101102202020021211101001
4102001302213310322101
5130244203121433314
62345044121142001
7155335305025264
oct22016247647221
94342666254331
101238873624209
11438448955351
1218012832a901
138ca961b3100
1443d6728ccdb
152235c87b674
hex120729f4e91

1238873624209 has 9 divisors (see below), whose sum is σ = 1341517876923. Its totient is φ = 1143562296552.

The previous prime is 1238873624203. The next prime is 1238873624213. The reversal of 1238873624209 is 9024263788321.

The square root of 1238873624209 is 1113047.

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., 183265329025 + 1055608295184 = 428095^2 + 1027428^2 .

It is not a de Polignac number, because 1238873624209 - 27 = 1238873624081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1238873624209.

It is not an unprimeable number, because it can be changed into a prime (1238873624203) 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 8 ways as a sum of consecutive naturals, for example, 14426802 + ... + 14512420.

Almost surely, 21238873624209 is an apocalyptic number.

1238873624209 is the 1113047-th square number.

1238873624209 is the 556524-th centered octagonal number.

It is an amenable number.

1238873624209 is a deficient number, since it is larger than the sum of its proper divisors (102644252714).

1238873624209 is an frugal number, since it uses more digits than its factorization.

1238873624209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171264 (or 85632 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

It can be divided in two parts, 123887 and 3624209, that added together give a 4-th power (3748096 = 444).

The spelling of 1238873624209 in words is "one trillion, two hundred thirty-eight billion, eight hundred seventy-three million, six hundred twenty-four thousand, two hundred nine".

Divisors: 1 13 169 85619 1113047 14469611 7330613161 95297971093 1238873624209