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3661041405 = 35737225469
BaseRepresentation
bin1101101000110111…
…0000111011111101
3100110010220011200010
43122031300323331
524444211311110
61403140453433
7156503224050
oct33215607375
910403804603
103661041405
11160962065a
128620aa279
134646330b8
1426a31ca97
1516661d020
hexda370efd

3661041405 has 48 divisors (see below), whose sum is σ = 6880567680. Its totient is φ = 1628322048.

The previous prime is 3661041401. The next prime is 3661041421. The reversal of 3661041405 is 5041401663.

It is not a de Polignac number, because 3661041405 - 22 = 3661041401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661041401) 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, 131011 + ... + 156479.

It is an arithmetic number, because the mean of its divisors is an integer number (143345160).

Almost surely, 23661041405 is an apocalyptic number.

3661041405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3661041405 is a deficient number, since it is larger than the sum of its proper divisors (3219526275).

3661041405 is a wasteful number, since it uses less digits than its factorization.

3661041405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25558 (or 25521 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3661041405 is about 60506.5401836859. The cubic root of 3661041405 is about 1541.2326956287.

The spelling of 3661041405 in words is "three billion, six hundred sixty-one million, forty-one thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 37 105 111 185 259 555 777 1295 1369 3885 4107 6845 9583 20535 25469 28749 47915 76407 127345 143745 178283 382035 534849 891415 942353 2674245 2827059 4711765 6596471 14135295 19789413 32982355 34867061 98947065 104601183 174335305 244069427 523005915 732208281 1220347135 3661041405