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1302672974409 = 32137227772
BaseRepresentation
bin10010111101001101010…
…111000010001001001001
311121112102112000121210100
4102331031113002021021
5132320333240140114
62434234550440013
7163054310404602
oct22751527021111
94545375017710
101302672974409
11462507a2a454
12190572663009
1395ac2b0a9c1
144709a584da9
1523d4391c909
hex12f4d5c2249

1302672974409 has 27 divisors (see below), whose sum is σ = 1896156390037. Its totient is φ = 861799161984.

The previous prime is 1302672974401. The next prime is 1302672974441. The reversal of 1302672974409 is 9044792762031.

The square root of 1302672974409 is 1141347.

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

1302672974409 is a `hidden beast` number, since 1 + 302 + 6 + 7 + 297 + 4 + 40 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108111412809 + 1194561561600 = 328803^2 + 1092960^2 .

It is not a de Polignac number, because 1302672974409 - 23 = 1302672974401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1302672974401) 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 26 ways as a sum of consecutive naturals, for example, 469092229 + ... + 469095005.

Almost surely, 21302672974409 is an apocalyptic number.

1302672974409 is the 1141347-th square number.

1302672974409 is the 570674-th centered octagonal number.

It is an amenable number.

1302672974409 is a deficient number, since it is larger than the sum of its proper divisors (593483415628).

1302672974409 is an frugal number, since it uses more digits than its factorization.

1302672974409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 1302672 and 974409, that added together give a square (2277081 = 15092).

The spelling of 1302672974409 in words is "one trillion, three hundred two billion, six hundred seventy-two million, nine hundred seventy-four thousand, four hundred nine".

Divisors: 1 3 9 137 411 1233 2777 8331 18769 24993 56307 168921 380449 1141347 3424041 7711729 23135187 52121513 69405561 156364539 469093617 1056506873 3169520619 9508561857 144741441601 434224324803 1302672974409