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669870816 = 25331253137
BaseRepresentation
bin100111111011010…
…110101011100000
31201200110222000020
4213323112223200
52332441331231
6150245353440
722412544066
oct4773265340
91650428006
10669870816
1131414094a
12168408880
13a8a20684
1464d74036
153dc20396
hex27ed6ae0

669870816 has 144 divisors (see below), whose sum is σ = 1864758672. Its totient is φ = 210462720.

The previous prime is 669870811. The next prime is 669870823. The reversal of 669870816 is 618078966.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669870811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4889500 + ... + 4889636.

It is an arithmetic number, because the mean of its divisors is an integer number (12949713).

Almost surely, 2669870816 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 669870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932379336).

669870816 is an abundant number, since it is smaller than the sum of its proper divisors (1194887856).

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

669870816 is a wasteful number, since it uses less digits than its factorization.

669870816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 669870816 is about 25881.8626841269. The cubic root of 669870816 is about 874.9777696665.

The spelling of 669870816 in words is "six hundred sixty-nine million, eight hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 137 159 186 212 248 274 318 372 411 424 496 548 636 744 822 848 961 992 1096 1272 1488 1643 1644 1696 1922 2192 2544 2883 2976 3286 3288 3844 4247 4384 4929 5088 5766 6572 6576 7261 7688 8494 9858 11532 12741 13144 13152 14522 15376 16988 19716 21783 23064 25482 26288 29044 30752 33976 39432 43566 46128 50933 50964 52576 58088 67952 78864 87132 92256 101866 101928 116176 131657 135904 152799 157728 174264 203732 203856 225091 232352 263314 305598 348528 394971 407464 407712 450182 526628 611196 675273 697056 789942 814928 900364 1053256 1222392 1350546 1579884 1629856 1800728 2106512 2444784 2701092 3159768 3601456 4213024 4889568 5402184 6319536 6977821 7202912 10804368 12639072 13955642 20933463 21608736 27911284 41866926 55822568 83733852 111645136 167467704 223290272 334935408 669870816