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10756386369 = 3218121912
BaseRepresentation
bin10100000010010000…
…10110111001000001
31000202122001001011100
422001020112321001
5134012113330434
64535202405013
7530360530011
oct120110267101
930678031140
1010756386369
11461a777313
122102360769
13102560ca81
147407b7c41
1542e4bc699
hex281216e41

10756386369 has 27 divisors (see below), whose sum is σ = 15705542307. Its totient is φ = 7093969200.

The previous prime is 10756386359. The next prime is 10756386373. The reversal of 10756386369 is 96368365701.

The square root of 10756386369 is 103713.

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

10756386369 is a `hidden beast` number, since 10 + 7 + 563 + 8 + 6 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118526769 + 10637859600 = 10887^2 + 103140^2 .

It is not a de Polignac number, because 10756386369 - 25 = 10756386337 is a prime.

It is a super-2 number, since 2×107563863692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10756386349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56316064 + ... + 56316254.

Almost surely, 210756386369 is an apocalyptic number.

10756386369 is the 103713-rd square number.

10756386369 is the 51857-th centered octagonal number.

It is an amenable number.

10756386369 is a deficient number, since it is larger than the sum of its proper divisors (4949155938).

10756386369 is an frugal number, since it uses more digits than its factorization.

10756386369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10756386369 in words is "ten billion, seven hundred fifty-six million, three hundred eighty-six thousand, three hundred sixty-nine".

Divisors: 1 3 9 181 191 543 573 1629 1719 32761 34571 36481 98283 103713 109443 294849 311139 328329 6257351 6603061 18772053 19809183 56316159 59427549 1195154041 3585462123 10756386369