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669440016 = 243275771151
BaseRepresentation
bin100111111001101…
…101100000010000
31201122200002001200
4213321231200100
52332334040031
6150232231200
722406101110
oct4771554020
91648602050
10669440016
11313977213
1216823b500
13a88cc56b
1464ca1040
153db878e6
hex27e6d810

669440016 has 120 divisors (see below), whose sum is σ = 2146719744. Its totient is φ = 190771200.

The previous prime is 669439997. The next prime is 669440017. The reversal of 669440016 is 610044966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (669440017) 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, 581041 + ... + 582191.

Almost surely, 2669440016 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 669440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073359872).

669440016 is an abundant number, since it is smaller than the sum of its proper divisors (1477279728).

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

669440016 is a wasteful number, since it uses less digits than its factorization.

669440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 669440016 is about 25873.5389152702. The cubic root of 669440016 is about 874.7901607288.

The spelling of 669440016 in words is "six hundred sixty-nine million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 577 1008 1151 1154 1731 2302 2308 3453 3462 4039 4604 4616 5193 6906 6924 8057 8078 9208 9232 10359 10386 12117 13812 13848 16114 16156 18416 20718 20772 24171 24234 27624 27696 32228 32312 36351 41436 41544 48342 48468 55248 64456 64624 72513 72702 82872 83088 96684 96936 128912 145026 145404 165744 193368 193872 290052 290808 386736 580104 581616 664127 1160208 1328254 1992381 2656508 3984762 4648889 5313016 5977143 7969524 9297778 10626032 11954286 13946667 15939048 18595556 23908572 27893334 31878096 37191112 41840001 47817144 55786668 74382224 83680002 95634288 111573336 167360004 223146672 334720008 669440016