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5601145040 = 245174118489
BaseRepresentation
bin1010011011101101…
…01011000011010000
3112110100112122112022
411031312223003100
542432343120130
62323443551012
7255541642631
oct51566530320
915410478468
105601145040
112414778197
12110398b468
136b356870a
143b1c65888
1522baed7e5
hex14ddab0d0

5601145040 has 40 divisors (see below), whose sum is σ = 13788704520. Its totient is φ = 2108665856.

The previous prime is 5601145037. The next prime is 5601145051. The reversal of 5601145040 is 405411065.

It can be written as a sum of positive squares in 4 ways, for example, as 164147344 + 5436997696 = 12812^2 + 73736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2057885 + ... + 2060604.

It is an arithmetic number, because the mean of its divisors is an integer number (344717613).

Almost surely, 25601145040 is an apocalyptic number.

It is an amenable number.

5601145040 is an abundant number, since it is smaller than the sum of its proper divisors (8187559480).

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

5601145040 is a wasteful number, since it uses less digits than its factorization.

5601145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118519 (or 4118513 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5601145040 is about 74840.7979647465. The cubic root of 5601145040 is about 1775.9290292366.

The spelling of 5601145040 in words is "five billion, six hundred one million, one hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 4118489 8236978 16473956 20592445 32947912 41184890 65895824 70014313 82369780 140028626 164739560 280057252 329479120 350071565 560114504 700143130 1120229008 1400286260 2800572520 5601145040