Search a number
-
+
132343891681 = 232158172
BaseRepresentation
bin111101101000001001…
…1111000011011100001
3110122121021101021112211
41323100103320123201
54132020014013211
6140444204522121
712363414342541
oct1732023703341
9418537337484
10132343891681
11511437496a1
1221795850341
13c6316769a1
1465968c1321
153698a04e21
hex1ed04f86e1

132343891681 has 9 divisors (see below), whose sum is σ = 138356898771. Its totient is φ = 126581806032.

The previous prime is 132343891643. The next prime is 132343891697. The reversal of 132343891681 is 186198343231.

The square root of 132343891681 is 363791.

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., 117995685025 + 14348206656 = 343505^2 + 119784^2 .

It is a de Polignac number, because none of the positive numbers 2k-132343891681 is a prime.

It is a super-2 number, since 2×1323438916812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132343891081) 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, 8359285 + ... + 8375101.

Almost surely, 2132343891681 is an apocalyptic number.

132343891681 is the 363791-st square number.

132343891681 is the 181896-th centered octagonal number.

It is an amenable number.

132343891681 is a deficient number, since it is larger than the sum of its proper divisors (6013007090).

132343891681 is an frugal number, since it uses more digits than its factorization.

132343891681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31680 (or 15840 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 132343891681 by its sum of digits (49), we get a square (6484850692369 = 25465372).

The spelling of 132343891681 in words is "one hundred thirty-two billion, three hundred forty-three million, eight hundred ninety-one thousand, six hundred eighty-one".

Divisors: 1 23 529 15817 363791 8367193 250177489 5754082247 132343891681