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4543918932609 = 32741728532
BaseRepresentation
bin100001000011111011010…
…1011001000001010000001
3121002101122112010100120100
41002013312223020022001
51043421421221320414
613355240400233013
7646200355440000
oct102076653101201
917071575110510
104543918932609
1114a2079861191
1261478530b769
1326c649ba52a4
14119cd93c0c37
157d2e7685609
hex421f6ac8281

4543918932609 has 135 divisors (see below), whose sum is σ = 8143335628233. Its totient is φ = 2440923399936.

The previous prime is 4543918932577. The next prime is 4543918932649. The reversal of 4543918932609 is 9062398193454.

The square root of 4543918932609 is 2131647.

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

4543918932609 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 9 + 18 + 9 + 3 + 2 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272174020209 + 4271744912400 = 521703^2 + 2066820^2 .

It is not a de Polignac number, because 4543918932609 - 25 = 4543918932577 is a prime.

It is a super-2 number, since 2×45439189326092 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4543918932649) 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 134 ways as a sum of consecutive naturals, for example, 5326985427 + ... + 5326986279.

Almost surely, 24543918932609 is an apocalyptic number.

4543918932609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4543918932609 is the 2131647-th square number.

4543918932609 is the 1065824-th centered octagonal number.

It is an amenable number.

4543918932609 is a deficient number, since it is larger than the sum of its proper divisors (3599416695624).

4543918932609 is an frugal number, since it uses more digits than its factorization.

4543918932609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 4543918932609 in words is "four trillion, five hundred forty-three billion, nine hundred eighteen million, nine hundred thirty-two thousand, six hundred nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 343 357 441 833 853 867 1029 1071 2023 2401 2499 2559 2601 3087 5831 5971 6069 7203 7497 7677 14161 14501 17493 17913 18207 21609 40817 41797 42483 43503 52479 53739 99127 101507 122451 125391 127449 130509 246517 292579 297381 304521 367353 376173 693889 710549 727609 739551 877737 892143 913563 1725619 2048053 2081667 2131647 2182827 2218653 2633211 4973843 5093263 5176857 6144159 6245001 6394941 6548481 12079333 12369353 14921529 15279789 15530571 18432477 34816901 35652841 36237999 37108059 44764587 45839367 84555331 86585471 104450703 106958523 108713997 111324177 210279001 249569887 253665993 259756413 313352109 320875569 591887317 606098297 630837003 748709661 760997979 779269239 1471953007 1746989209 1775661951 1818294891 1892511009 2246128983 4242688079 4415859021 5240967627 5326985853 5454884673 10303671049 12728064237 13247577063 15722902881 29698816553 30911013147 38184192711 72125697343 89096449659 92733039441 216377092029 267289348977 504879881401 649131276087 1514639644203 4543918932609