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6740081604 = 223445612
BaseRepresentation
bin1100100011011110…
…10111101111000100
3122101201122121210000
412101233113233010
5102300430102404
63032451201300
7326011514454
oct62157275704
918351577700
106740081604
112949667083
1213812a6230
138354ccb89
1447d21bd64
15296ac6339
hex191bd7bc4

6740081604 has 45 divisors (see below), whose sum is σ = 17623768701. Its totient is φ = 2246201280.

The previous prime is 6740081587. The next prime is 6740081609. The reversal of 6740081604 is 4061800476.

The square root of 6740081604 is 82098.

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

6740081604 is a `hidden beast` number, since 6 + 7 + 40 + 0 + 8 + 1 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2256440004 + 4483641600 = 47502^2 + 66960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6740081609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1475484 + ... + 1480044.

Almost surely, 26740081604 is an apocalyptic number.

6740081604 is the 82098-th square number.

It is an amenable number.

6740081604 is an abundant number, since it is smaller than the sum of its proper divisors (10883687097).

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

6740081604 is an frugal number, since it uses more digits than its factorization.

6740081604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The cubic root of 6740081604 is about 1888.9554621309.

Multiplying 6740081604 by its sum of digits (36), we get a square (242642937744 = 4925882).

6740081604 divided by its sum of digits (36) gives a square (187224489 = 136832).

The spelling of 6740081604 in words is "six billion, seven hundred forty million, eighty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 4561 9122 13683 18244 27366 41049 54732 82098 123147 164196 246294 369441 492588 738882 1477764 20802721 41605442 62408163 83210884 124816326 187224489 249632652 374448978 561673467 748897956 1123346934 1685020401 2246693868 3370040802 6740081604