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5664492432 = 243341319811
BaseRepresentation
bin1010100011010000…
…10100101110010000
3112121202202000211000
411101220110232100
543100102224212
62334025422000
7260241251124
oct52150245620
915552660730
105664492432
112447505005
12112103a900
136c3718191
143ba435584
152324631dc
hex151a14b90

5664492432 has 80 divisors (see below), whose sum is σ = 16655808960. Its totient is φ = 1842105600.

The previous prime is 5664492409. The next prime is 5664492433. The reversal of 5664492432 is 2342944665.

5664492432 is a `hidden beast` number, since 566 + 4 + 49 + 2 + 43 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5664492433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142194 + ... + 177617.

It is an arithmetic number, because the mean of its divisors is an integer number (208197612).

Almost surely, 25664492432 is an apocalyptic number.

It is an amenable number.

5664492432 is an abundant number, since it is smaller than the sum of its proper divisors (10991316528).

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

5664492432 is a wasteful number, since it uses less digits than its factorization.

5664492432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319869 (or 319857 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 5664492432 is about 75262.8223759912. The cubic root of 5664492432 is about 1782.5990345125.

The spelling of 5664492432 in words is "five billion, six hundred sixty-four million, four hundred ninety-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 319811 639622 959433 1279244 1918866 2558488 2878299 3837732 5116976 5756598 7675464 8634897 11513196 13112251 15350928 17269794 23026392 26224502 34539588 39336753 46052784 52449004 69079176 78673506 104898008 118010259 138158352 157347012 209796016 236020518 314694024 354030777 472041036 629388048 708061554 944082072 1416123108 1888164144 2832246216 5664492432