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4664407005 = 335671493461
BaseRepresentation
bin1000101100000010…
…10011001111011101
3110001001220102112000
410112001103033131
534023042011010
62050502232513
7223405543146
oct42601231735
913031812460
104664407005
111a83a33025
12aa2125739
1359447b15b
143236a4acd
151c47667c0
hex1160533dd

4664407005 has 64 divisors (see below), whose sum is σ = 8474976000. Its totient is φ = 2433404160.

The previous prime is 4664407003. The next prime is 4664407039. The reversal of 4664407005 is 5007044664.

4664407005 is a `hidden beast` number, since 4 + 6 + 644 + 0 + 7 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 4664407005 - 21 = 4664407003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664407003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345975 + ... + 1349435.

It is an arithmetic number, because the mean of its divisors is an integer number (132421500).

Almost surely, 24664407005 is an apocalyptic number.

4664407005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4664407005 is a deficient number, since it is larger than the sum of its proper divisors (3810568995).

4664407005 is a wasteful number, since it uses less digits than its factorization.

4664407005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4664407005 is about 68296.4640739182. The cubic root of 4664407005 is about 1670.8295453190.

The spelling of 4664407005 in words is "four billion, six hundred sixty-four million, four hundred seven thousand, five".

Divisors: 1 3 5 9 15 27 45 67 135 149 201 335 447 603 745 1005 1341 1809 2235 3015 3461 4023 6705 9045 9983 10383 17305 20115 29949 31149 49915 51915 89847 93447 149745 155745 231887 269541 449235 467235 515689 695661 1159435 1347705 1547067 2086983 2578445 3478305 4641201 6260949 7735335 10434915 13923603 23206005 31304745 34551163 69618015 103653489 172755815 310960467 518267445 932881401 1554802335 4664407005