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4416727007 = 7111723146701
BaseRepresentation
bin1000001110100000…
…11110011111011111
3102101210211222102202
410013100132133133
533021140231012
62010133442115
7214310363060
oct40720363737
912353758382
104416727007
111967144410
12a331a033b
1355506b744
142dc830567
151acb3ecc2
hex10741e7df

4416727007 has 32 divisors (see below), whose sum is σ = 6084025344. Its totient is φ = 3098304000.

The previous prime is 4416727001. The next prime is 4416727027. The reversal of 4416727007 is 7007276144.

It is not a de Polignac number, because 4416727007 - 210 = 4416725983 is a prime.

It is a super-3 number, since 3×44167270073 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416727001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43244 + ... + 103457.

It is an arithmetic number, because the mean of its divisors is an integer number (190125792).

Almost surely, 24416727007 is an apocalyptic number.

4416727007 is a deficient number, since it is larger than the sum of its proper divisors (1667298337).

4416727007 is a wasteful number, since it uses less digits than its factorization.

4416727007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146759.

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 4416727007 is about 66458.4607630962. The cubic root of 4416727007 is about 1640.7163991612.

The spelling of 4416727007 in words is "four billion, four hundred sixteen million, seven hundred twenty-seven thousand, seven".

Divisors: 1 7 11 17 23 77 119 161 187 253 391 1309 1771 2737 4301 30107 146701 1026907 1613711 2493917 3374123 11295977 17457419 23618861 27433087 37115353 57360091 192031609 259807471 401520637 630961001 4416727007