Search a number
-
+
2765577012 = 2231143148611
BaseRepresentation
bin1010010011010111…
…0101101100110100
321010201220212110020
42210311311230310
521130441431022
61134231525140
7125351005512
oct24465655464
97121825406
102765577012
11119a106a40
126522297b0
13350c67003
141c34234b2
15112bda35c
hexa4d75b34

2765577012 has 48 divisors (see below), whose sum is σ = 7056129024. Its totient is φ = 836092000.

The previous prime is 2765577007. The next prime is 2765577013. The reversal of 2765577012 is 2107755672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765577013) 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, 32587 + ... + 81197.

It is an arithmetic number, because the mean of its divisors is an integer number (147002688).

Almost surely, 22765577012 is an apocalyptic number.

2765577012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2765577012 is an abundant number, since it is smaller than the sum of its proper divisors (4290552012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2765577012 is a wasteful number, since it uses less digits than its factorization.

2765577012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49060 (or 49058 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 2765577012 is about 52588.7536646382. The cubic root of 2765577012 is about 1403.6599833274.

The spelling of 2765577012 in words is "two billion, seven hundred sixty-five million, five hundred seventy-seven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 431 862 1293 1724 2586 4741 5172 9482 14223 18964 28446 48611 56892 97222 145833 194444 291666 534721 583332 1069442 1604163 2138884 3208326 6416652 20951341 41902682 62854023 83805364 125708046 230464751 251416092 460929502 691394253 921859004 1382788506 2765577012