Search a number
-
+
7381131649 = 292518811151
BaseRepresentation
bin1101101111111001…
…10010000110000001
3201001101220100010021
412313330302012001
5110104032203044
63220231133441
7350624404153
oct66774620601
921041810107
107381131649
113148502501
12151bb14281
1390826c228
1450040cad3
152d3001e84
hex1b7f32181

7381131649 has 16 divisors (see below), whose sum is σ = 7681443840. Its totient is φ = 7084000000.

The previous prime is 7381131643. The next prime is 7381131679. The reversal of 7381131649 is 9461311837.

It is a cyclic number.

It is not a de Polignac number, because 7381131649 - 211 = 7381129601 is a prime.

It is a super-2 number, since 2×73811316492 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7381131643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6412224 + ... + 6413374.

It is an arithmetic number, because the mean of its divisors is an integer number (480090240).

Almost surely, 27381131649 is an apocalyptic number.

It is an amenable number.

7381131649 is a deficient number, since it is larger than the sum of its proper divisors (300312191).

7381131649 is a wasteful number, since it uses less digits than its factorization.

7381131649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312.

The product of its digits is 108864, while the sum is 43.

The square root of 7381131649 is about 85913.5126100662. The cubic root of 7381131649 is about 1947.0375045524.

The spelling of 7381131649 in words is "seven billion, three hundred eighty-one million, one hundred thirty-one thousand, six hundred forty-nine".

Divisors: 1 29 251 881 1151 7279 25549 33379 221131 288901 1014031 6412799 8378129 29406899 254521781 7381131649