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4479505668 = 22321122344711
BaseRepresentation
bin1000010101111111…
…11101010100000100
3102120011222110120100
410022333331110010
533133223140133
62020255204100
7216002112201
oct41277752404
912504873510
104479505668
111999622a00
12a50216630
1356507c391
14306cd2ca8
151b33e0e13
hex10affd504

4479505668 has 108 divisors (see below), whose sum is σ = 12987584064. Its totient is φ = 1298378400.

The previous prime is 4479505651. The next prime is 4479505697. The reversal of 4479505668 is 8665059744.

4479505668 is a `hidden beast` number, since 4 + 4 + 79 + 5 + 0 + 566 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 77833 + ... + 122543.

It is an arithmetic number, because the mean of its divisors is an integer number (120255408).

Almost surely, 24479505668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4479505668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493792032).

4479505668 is an abundant number, since it is smaller than the sum of its proper divisors (8508078396).

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

4479505668 is a wasteful number, since it uses less digits than its factorization.

4479505668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44766 (or 44750 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4479505668 is about 66929.1092724235. The cubic root of 4479505668 is about 1648.4534842644.

The spelling of 4479505668 in words is "four billion, four hundred seventy-nine million, five hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 16698 25047 33396 44711 50094 89422 100188 134133 178844 268266 402399 491821 536532 804798 983642 1028353 1475463 1609596 1967284 2056706 2950926 3085059 4113412 4426389 5410031 5901852 6170118 8852778 9255177 10820062 11311883 12340236 16230093 17705556 18510354 21640124 22623766 32460186 33935649 37020708 45247532 48690279 64920372 67871298 97380558 101806947 124430713 135742596 194761116 203613894 248861426 373292139 407227788 497722852 746584278 1119876417 1493168556 2239752834 4479505668