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669328416 = 25328926113
BaseRepresentation
bin100111111001010…
…010010000100000
31201122110101222100
4213321102100200
52332322002131
6150230010400
722405124541
oct4771222040
91648411870
10669328416
11313900389
121681a6a00
13a8890823
1464c724c8
153db647e6
hex27e52420

669328416 has 72 divisors (see below), whose sum is σ = 1924862940. Its totient is φ = 220594176.

The previous prime is 669328393. The next prime is 669328423. The reversal of 669328416 is 614823966.

It can be written as a sum of positive squares in 2 ways, for example, as 662547600 + 6780816 = 25740^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12576 + ... + 38688.

Almost surely, 2669328416 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 669328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962431470).

669328416 is an abundant number, since it is smaller than the sum of its proper divisors (1255534524).

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

669328416 is a wasteful number, since it uses less digits than its factorization.

669328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26218 (or 26207 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 669328416 is about 25871.3821818626. The cubic root of 669328416 is about 874.7415469595.

The spelling of 669328416 in words is "six hundred sixty-nine million, three hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 26113 52226 78339 104452 156678 208904 235017 313356 417808 470034 626712 835616 940068 1253424 1880136 2324057 2506848 3760272 4648114 6972171 7520544 9296228 13944342 18592456 20916513 27888684 37184912 41833026 55777368 74369824 83666052 111554736 167332104 223109472 334664208 669328416