Search a number
-
+
20762792649 = 3243211172
BaseRepresentation
bin10011010101100011…
…110001001011001001
31222120222212011001100
4103111203301023021
5320010233331044
613312134412013
71333343553114
oct232543611311
958528764040
1020762792649
118895067475
124035501009
131c5b731131
14100d72757b
15817be3869
hex4d58f12c9

20762792649 has 27 divisors (see below), whose sum is σ = 30731891463. Its totient is φ = 13507854192.

The previous prime is 20762792639. The next prime is 20762792749. The reversal of 20762792649 is 94629726702.

The square root of 20762792649 is 144093.

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

20762792649 is a `hidden beast` number, since 2 + 0 + 7 + 627 + 9 + 2 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 918999225 + 19843793424 = 30315^2 + 140868^2 .

It is not a de Polignac number, because 20762792649 - 29 = 20762792137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20762792595 and 20762792604.

It is not an unprimeable number, because it can be changed into a prime (20762792639) 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 26 ways as a sum of consecutive naturals, for example, 18587439 + ... + 18588555.

Almost surely, 220762792649 is an apocalyptic number.

20762792649 is the 144093-rd square number.

20762792649 is the 72047-th centered octagonal number.

It is an amenable number.

20762792649 is a deficient number, since it is larger than the sum of its proper divisors (9969098814).

20762792649 is an frugal number, since it uses more digits than its factorization.

20762792649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 1163 counting only the distinct ones).

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

The spelling of 20762792649 in words is "twenty billion, seven hundred sixty-two million, seven hundred ninety-two thousand, six hundred forty-nine".

Divisors: 1 3 9 43 129 387 1117 1849 3351 5547 10053 16641 48031 144093 432279 1247689 2065333 3743067 6195999 11229201 18587997 53650627 160951881 482855643 2306976961 6920930883 20762792649