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1318186423129 = 4146832
BaseRepresentation
bin10011001011101010000…
…010001001001101011001
311200000110200022110201011
4103023222002021031121
5133044121211020004
62445322205453521
7164143613503222
oct23135202111531
94600420273634
101318186423129
11469048964054
12193581b712a1
13973c5b3a364
1447b2ca62249
1524450855004
hex132ea089359

1318186423129 has 15 divisors (see below), whose sum is σ = 1353122213065. Its totient is φ = 1284152613040.

The previous prime is 1318186423123. The next prime is 1318186423187. The reversal of 1318186423129 is 9213246818131.

It is a happy number.

The square root of 1318186423129 is 1148123.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1076358525529 + 241827897600 = 1037477^2 + 491760^2 .

It is not a de Polignac number, because 1318186423129 - 211 = 1318186421081 is a prime.

It is a super-2 number, since 2×13181864231292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1318186423123) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1929994422 + ... + 1929995104.

Almost surely, 21318186423129 is an apocalyptic number.

1318186423129 is the 1148123-rd square number.

1318186423129 is the 574062-nd centered octagonal number.

It is an amenable number.

1318186423129 is a deficient number, since it is larger than the sum of its proper divisors (34935789936).

1318186423129 is an frugal number, since it uses more digits than its factorization.

1318186423129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 724 counting only the distinct ones).

The product of its digits is 497664, while the sum is 49.

Multiplying 1318186423129 by its sum of digits (49), we get a square (64591134733321 = 80368612).

The spelling of 1318186423129 in words is "one trillion, three hundred eighteen billion, one hundred eighty-six million, four hundred twenty-three thousand, one hundred twenty-nine".

Divisors: 1 41 683 1681 28003 68921 466489 1148123 2825761 19126049 47073043 784168009 1929994763 32150888369 1318186423129