Search a number
-
+
10766552644 = 2229217892
BaseRepresentation
bin10100000011011110…
…01000111001000100
31000210100011112200001
422001233020321010
5134022214141034
64540204331044
7530543121211
oct120157107104
930710145601
1010766552644
1146254903a1
122105843a84
13102775c213
14741ca2b08
15430329a14
hex281bc8e44

10766552644 has 27 divisors (see below), whose sum is σ = 19524490167. Its totient is φ = 5194740768.

The previous prime is 10766552639. The next prime is 10766552647. The reversal of 10766552644 is 44625566701.

The square root of 10766552644 is 103762.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3162712644 + 7603840000 = 56238^2 + 87200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10766552594 and 10766552603.

It is not an unprimeable number, because it can be changed into a prime (10766552647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6017302 + ... + 6019090.

Almost surely, 210766552644 is an apocalyptic number.

10766552644 is the 103762-nd square number.

It is an amenable number.

10766552644 is a deficient number, since it is larger than the sum of its proper divisors (8757937523).

10766552644 is an frugal number, since it uses more digits than its factorization.

10766552644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 10766552644 in words is "ten billion, seven hundred sixty-six million, five hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 4 29 58 116 841 1682 1789 3364 3578 7156 51881 103762 207524 1504549 3009098 3200521 6018196 6401042 12802084 92815109 185630218 371260436 2691638161 5383276322 10766552644