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10755266945 = 531253157269
BaseRepresentation
bin10100000010001000…
…00101100110000001
31000202112221011121012
422001010011212001
5134011322020240
64535122410305
7530345155253
oct120104054601
930675834535
1010755266945
11461a082275
122101b00995
13102530a3a7
147405a5cd3
1542e34ab65
hex281105981

10755266945 has 48 divisors (see below), whose sum is σ = 13725087120. Its totient is φ = 8087339520.

The previous prime is 10755266897. The next prime is 10755266947. The reversal of 10755266945 is 54966255701.

It can be written as a sum of positive squares in 8 ways, for example, as 1104365824 + 9650901121 = 33232^2 + 98239^2 .

It is not a de Polignac number, because 10755266945 - 212 = 10755262849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10755266893 and 10755266902.

It is not an unprimeable number, because it can be changed into a prime (10755266947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39982271 + ... + 39982539.

It is an arithmetic number, because the mean of its divisors is an integer number (285939315).

Almost surely, 210755266945 is an apocalyptic number.

It is an amenable number.

10755266945 is a deficient number, since it is larger than the sum of its proper divisors (2969820175).

10755266945 is a wasteful number, since it uses less digits than its factorization.

10755266945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 10755266945 in words is "ten billion, seven hundred fifty-five million, two hundred sixty-six thousand, nine hundred forty-five".

Divisors: 1 5 31 53 155 157 265 269 785 961 1345 1643 4805 4867 8215 8321 8339 14257 24335 41605 41695 42233 50933 71285 150877 211165 254665 257951 258509 441967 754385 1289755 1292545 1309223 2209835 2238349 6546115 7996481 11191745 13700977 39982405 40585913 68504885 69388819 202929565 346944095 2151053389 10755266945