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10740627769 = 37228012
BaseRepresentation
bin10100000000011000…
…01111100100111001
31000201112101102102111
422000030033210321
5133444100042034
64533440532321
7530106554404
oct120014174471
930645342374
1010740627769
114611893683
1220b90210a1
131022283061
1473c674d3b
1542ce08364
hex28030f939

10740627769 has 9 divisors (see below), whose sum is σ = 11042703021. Its totient is φ = 10446609600.

The previous prime is 10740627767. The next prime is 10740627773. The reversal of 10740627769 is 96772604701.

The square root of 10740627769 is 103637.

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 2163645225 + 8576982544 = 46515^2 + 92612^2 .

It is not a de Polignac number, because 10740627769 - 21 = 10740627767 is a prime.

It is a super-2 number, since 2×107406277692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10740627767) 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, 3833169 + ... + 3835969.

Almost surely, 210740627769 is an apocalyptic number.

10740627769 is the 103637-th square number.

10740627769 is the 51819-th centered octagonal number.

It is an amenable number.

10740627769 is a deficient number, since it is larger than the sum of its proper divisors (302075252).

10740627769 is an frugal number, since it uses more digits than its factorization.

10740627769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 49.

Multiplying 10740627769 by its sum of digits (49), we get a square (526290760681 = 7254592).

It can be divided in two parts, 107 and 40627769, that added together give a square (40627876 = 63742).

The spelling of 10740627769 in words is "ten billion, seven hundred forty million, six hundred twenty-seven thousand, seven hundred sixty-nine".

Divisors: 1 37 1369 2801 103637 3834569 7845601 290287237 10740627769