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669026688 = 273111491063
BaseRepresentation
bin100111111000001…
…000100110000000
31201121220002002020
4213320020212000
52332232323223
6150215321440
722402430061
oct4770104600
91647802066
10669026688
11313714720
12168080280
13a87b63a5
1464bd4568
153db051e3
hex27e08980

669026688 has 128 divisors (see below), whose sum is σ = 1953504000. Its totient is φ = 201185280.

The previous prime is 669026663. The next prime is 669026693. The reversal of 669026688 is 886620966.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 669026688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628845 + ... + 629907.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2669026688 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 669026688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752000).

669026688 is an abundant number, since it is smaller than the sum of its proper divisors (1284477312).

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

669026688 is a wasteful number, since it uses less digits than its factorization.

669026688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 669026688 is about 25865.5502164559. The cubic root of 669026688 is about 874.6100849941.

The spelling of 669026688 in words is "six hundred sixty-nine million, twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 264 298 352 384 447 528 596 704 894 1056 1063 1192 1408 1639 1788 2112 2126 2384 3189 3278 3576 4224 4252 4768 4917 6378 6556 7152 8504 9536 9834 11693 12756 13112 14304 17008 19072 19668 23386 25512 26224 28608 34016 35079 39336 46772 51024 52448 57216 68032 70158 78672 93544 102048 104896 136064 140316 157344 158387 187088 204096 209792 280632 314688 316774 374176 408192 475161 561264 629376 633548 748352 950322 1122528 1267096 1496704 1742257 1900644 2245056 2534192 3484514 3801288 4490112 5068384 5226771 6969028 7602576 10136768 10453542 13938056 15205152 20273536 20907084 27876112 30410304 41814168 55752224 60820608 83628336 111504448 167256672 223008896 334513344 669026688