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1356789324969 = 32132298672
BaseRepresentation
bin10011101111100110111…
…100100001110010101001
311210201002222111001211100
4103233212330201302221
5134212201031344334
62515144515552013
7200011334655441
oct23574674416251
94721088431740
101356789324969
11483458225611
1219ab55bbb609
139ac38618c00
1449951875121
152545e86bc99
hex13be6f21ca9

1356789324969 has 27 divisors (see below), whose sum is σ = 2122228718103. Its totient is φ = 834919321392.

The previous prime is 1356789324931. The next prime is 1356789325069. The reversal of 1356789324969 is 9694239876531.

The square root of 1356789324969 is 1164813.

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

1356789324969 is a `hidden beast` number, since 1 + 3 + 56 + 7 + 89 + 3 + 2 + 496 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 200708480025 + 1156080844944 = 448005^2 + 1075212^2 .

It is not a de Polignac number, because 1356789324969 - 225 = 1356755770537 is a prime.

It is a super-2 number, since 2×13567893249692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1356789324897 and 1356789324906.

It is not an unprimeable number, because it can be changed into a prime (1356789324769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45412774 + ... + 45442640.

Almost surely, 21356789324969 is an apocalyptic number.

1356789324969 is the 1164813-rd square number.

1356789324969 is the 582407-th centered octagonal number.

It is an amenable number.

1356789324969 is a deficient number, since it is larger than the sum of its proper divisors (765439393134).

1356789324969 is an frugal number, since it uses more digits than its factorization.

1356789324969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59766 (or 29883 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 1356789324969 in words is "one trillion, three hundred fifty-six billion, seven hundred eighty-nine million, three hundred twenty-four thousand, nine hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 29867 89601 268803 388271 1164813 3494439 5047523 15142569 45427707 892037689 2676113067 8028339201 11596489957 34789469871 104368409613 150754369441 452263108323 1356789324969