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3664255725 = 3452131091277
BaseRepresentation
bin1101101001101000…
…0001101011101101
3100110100221110220000
43122122001223231
530001022140400
61403333414513
7156542442204
oct33232015355
910410843800
103664255725
111610416619
1286319a439
134651ba170
1426a91823b
15166a55600
hexda681aed

3664255725 has 120 divisors (see below), whose sum is σ = 7382418120. Its totient is φ = 1785991680.

The previous prime is 3664255723. The next prime is 3664255739. The reversal of 3664255725 is 5275524663.

3664255725 is a `hidden beast` number, since 36 + 6 + 42 + 5 + 572 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 997359561 + 2666896164 = 31581^2 + 51642^2 .

It is not a de Polignac number, because 3664255725 - 21 = 3664255723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664255723) 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 119 ways as a sum of consecutive naturals, for example, 2868787 + ... + 2870063.

It is an arithmetic number, because the mean of its divisors is an integer number (61520151).

Almost surely, 23664255725 is an apocalyptic number.

It is an amenable number.

3664255725 is an abundant number, since it is smaller than the sum of its proper divisors (3718162395).

3664255725 is a wasteful number, since it uses less digits than its factorization.

3664255725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1407 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 3664255725 is about 60533.0961127878. The cubic root of 3664255725 is about 1541.6836206885.

The spelling of 3664255725 in words is "three billion, six hundred sixty-four million, two hundred fifty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 109 117 135 195 225 325 327 351 405 545 585 675 975 981 1053 1277 1417 1635 1755 2025 2725 2925 2943 3831 4251 4905 5265 6385 7085 8175 8775 8829 11493 12753 14715 16601 19155 21255 24525 26325 31925 34479 35425 38259 44145 49803 57465 63765 73575 83005 95775 103437 106275 114777 139193 149409 172395 191295 220725 249015 287325 318825 415025 417579 448227 517185 573885 695965 747045 861975 956475 1245075 1252737 1344681 1809509 2087895 2241135 2585925 2869425 3479825 3735225 3758211 5428527 6263685 6723405 9047545 10439475 11205675 11274633 16285581 18791055 27142635 31318425 33617025 45237725 48856743 56373165 81427905 93955275 135713175 146570229 244283715 281865825 407139525 732851145 1221418575 3664255725