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669576564 = 223331434651
BaseRepresentation
bin100111111010001…
…110110101110100
31201122221000101000
4213322032311310
52332402422224
6150235203300
722410210156
oct4772166564
91648830330
10669576564
11313a5a868
121682a6530
13a8949767
1464cd8ad6
153dbb30c9
hex27e8ed74

669576564 has 96 divisors (see below), whose sum is σ = 1834004480. Its totient is φ = 210924000.

The previous prime is 669576553. The next prime is 669576577. The reversal of 669576564 is 465675966.

669576564 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 76 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 669576564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141639 + ... + 146289.

Almost surely, 2669576564 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 669576564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917002240).

669576564 is an abundant number, since it is smaller than the sum of its proper divisors (1164427916).

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

669576564 is a wasteful number, since it uses less digits than its factorization.

669576564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4730 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 669576564 is about 25876.1775384233. The cubic root of 669576564 is about 874.8496346788.

The spelling of 669576564 in words is "six hundred sixty-nine million, five hundred seventy-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 43 54 62 86 93 108 124 129 172 186 258 279 372 387 516 558 774 837 1116 1161 1333 1548 1674 2322 2666 3348 3999 4644 4651 5332 7998 9302 11997 13953 15996 18604 23994 27906 35991 41859 47988 55812 71982 83718 125577 143964 144181 167436 199993 251154 288362 399986 432543 502308 576724 599979 799972 865086 1199958 1297629 1730172 1799937 2399916 2595258 3599874 3892887 5190516 5399811 6199783 7199748 7785774 10799622 12399566 15571548 18599349 21599244 24799132 37198698 55798047 74397396 111596094 167394141 223192188 334788282 669576564