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4464412641 = 3213314726189
BaseRepresentation
bin1000010100001100…
…11000011111100001
3102112010120122211100
410022012120133201
533120342201031
62014555505013
7215426611203
oct41206303741
912463518740
104464412641
111991054327
12a47158169
13561bc65b0
14304cc4773
151b1e0dde6
hex10a1987e1

4464412641 has 48 divisors (see below), whose sum is σ = 7321466880. Its totient is φ = 2602039680.

The previous prime is 4464412613. The next prime is 4464412661. The reversal of 4464412641 is 1462144644.

4464412641 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 4 + 1 + 2 + 641 = 666.

It is not a de Polignac number, because 4464412641 - 211 = 4464410593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4464412596 and 4464412605.

It is not an unprimeable number, because it can be changed into a prime (4464412661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157375 + ... + 183563.

It is an arithmetic number, because the mean of its divisors is an integer number (152530560).

Almost surely, 24464412641 is an apocalyptic number.

It is an amenable number.

4464412641 is a deficient number, since it is larger than the sum of its proper divisors (2857054239).

4464412641 is a wasteful number, since it uses less digits than its factorization.

4464412641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26286 (or 26283 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4464412641 is about 66816.2603039111. The cubic root of 4464412641 is about 1646.5999948738.

The spelling of 4464412641 in words is "four billion, four hundred sixty-four million, four hundred twelve thousand, six hundred forty-one".

Divisors: 1 3 9 13 31 39 47 93 117 141 279 403 423 611 1209 1457 1833 3627 4371 5499 13113 18941 26189 56823 78567 170469 235701 340457 811859 1021371 1230883 2435577 3064113 3692649 7306731 10554167 11077947 16001479 31662501 38157373 48004437 94987503 114472119 144013311 343416357 496045849 1488137547 4464412641