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6010745841 = 324326012
BaseRepresentation
bin1011001100100010…
…01011001111110001
3120111220021112012100
411212101023033301
544302222331331
62432235051013
7301644332232
oct54621131761
916456245170
106010745841
112604a00351
1211b8ba0a69
1374a38bc59
14410409089
15252a5bae6
hex16644b3f1

6010745841 has 27 divisors (see below), whose sum is σ = 8903610027. Its totient is φ = 3907461600.

The previous prime is 6010745831. The next prime is 6010745849. The reversal of 6010745841 is 1485470106.

It is a happy number.

The square root of 6010745841 is 77529.

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

6010745841 is a `hidden beast` number, since 6 + 0 + 1 + 0 + 74 + 584 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5052224241 + 958521600 = 71079^2 + 30960^2 .

It is not a de Polignac number, because 6010745841 - 211 = 6010743793 is a prime.

It is a super-2 number, since 2×60107458412 = 72258131130197594562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6010745796 and 6010745805.

It is not an unprimeable number, because it can be changed into a prime (6010745849) 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 26 ways as a sum of consecutive naturals, for example, 10000941 + ... + 10001541.

Almost surely, 26010745841 is an apocalyptic number.

6010745841 is the 77529-th square number.

6010745841 is the 38765-th centered octagonal number.

It is an amenable number.

6010745841 is a deficient number, since it is larger than the sum of its proper divisors (2892864186).

6010745841 is an frugal number, since it uses more digits than its factorization.

6010745841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 6010745841 is about 1818.2047507995.

Multiplying 6010745841 by its sum of digits (36), we get a square (216386850276 = 4651742).

The spelling of 6010745841 in words is "six billion, ten million, seven hundred forty-five thousand, eight hundred forty-one".

Divisors: 1 3 9 43 129 387 601 1803 1849 5409 5547 16641 25843 77529 232587 361201 1083603 1111249 3250809 3333747 10001241 15531643 46594929 139784787 667860649 2003581947 6010745841