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4466664468 = 2232739744647
BaseRepresentation
bin1000010100011101…
…11110010000010100
3102112021211001202100
410022032332100110
533121431230333
62015120042100
7215455010250
oct41216762024
912467731670
104466664468
111992352142
12a47a63330
13562504536
1430530d260
151b2206213
hex10a3be414

4466664468 has 72 divisors (see below), whose sum is σ = 12936490112. Its totient is φ = 1272946752.

The previous prime is 4466664463. The next prime is 4466664479. The reversal of 4466664468 is 8644666644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466664463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77721 + ... + 122367.

Almost surely, 24466664468 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 4466664468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468245056).

4466664468 is an abundant number, since it is smaller than the sum of its proper divisors (8469825644).

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

4466664468 is a wasteful number, since it uses less digits than its factorization.

4466664468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45061 (or 45056 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The square root of 4466664468 is about 66833.1090702804. The cubic root of 4466664468 is about 1646.8767938909.

The spelling of 4466664468 in words is "four billion, four hundred sixty-six million, six hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 397 794 1191 1588 2382 2779 3573 4764 5558 7146 8337 11116 14292 16674 25011 33348 44647 50022 89294 100044 133941 178588 267882 312529 401823 535764 625058 803646 937587 1250116 1607292 1875174 2812761 3750348 5625522 11251044 17724859 35449718 53174577 70899436 106349154 124074013 159523731 212698308 248148026 319047462 372222039 496296052 638094924 744444078 1116666117 1488888156 2233332234 4466664468