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4454004564 = 2233122333721
BaseRepresentation
bin1000010010111101…
…01011011101010100
3102111101222212122000
410021132223131110
533110211121224
62013544435300
7215242262022
oct41136533524
912441885560
104454004564
111986195609
12a43778b30
1355c9c1079
14303775712
151b10550c9
hex1097ab754

4454004564 has 48 divisors (see below), whose sum is σ = 11557203840. Its totient is φ = 1483410240.

The previous prime is 4454004557. The next prime is 4454004571. The reversal of 4454004564 is 4654004544.

4454004564 is a `hidden beast` number, since 44 + 54 + 0 + 0 + 4 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (4454004557) and next prime (4454004571).

It is a super-2 number, since 2×44540045642 = 39676313312265660192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 115224 + ... + 148944.

It is an arithmetic number, because the mean of its divisors is an integer number (240775080).

Almost surely, 24454004564 is an apocalyptic number.

It is an amenable number.

4454004564 is an abundant number, since it is smaller than the sum of its proper divisors (7103199276).

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

4454004564 is a wasteful number, since it uses less digits than its factorization.

4454004564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34957 (or 34949 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4454004564 is about 66738.3290471076. The cubic root of 4454004564 is about 1645.3194027535.

The spelling of 4454004564 in words is "four billion, four hundred fifty-four million, four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1223 2446 3669 4892 7338 11007 14676 22014 33021 33721 44028 66042 67442 101163 132084 134884 202326 303489 404652 606978 910467 1213956 1820934 3641868 41240783 82481566 123722349 164963132 247444698 371167047 494889396 742334094 1113501141 1484668188 2227002282 4454004564