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664981632 = 2732782463
BaseRepresentation
bin100111101000101…
…101000010000000
31201100021120022100
4213220231002000
52330213403012
6145552510400
722323151650
oct4750550200
91640246270
10664981632
113114015a7
1216684b400
13a79cb173
1464460360
153d5a68dc
hex27a2d080

664981632 has 96 divisors (see below), whose sum is σ = 2186945280. Its totient is φ = 189992448.

The previous prime is 664981573. The next prime is 664981643. The reversal of 664981632 is 236189466.

664981632 is a `hidden beast` number, since 6 + 6 + 4 + 9 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 33168 + ... + 49295.

It is an arithmetic number, because the mean of its divisors is an integer number (22780680).

Almost surely, 2664981632 is an apocalyptic number.

It is an amenable number.

664981632 is an abundant number, since it is smaller than the sum of its proper divisors (1521963648).

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

664981632 is a wasteful number, since it uses less digits than its factorization.

664981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82490 (or 82475 counting only the distinct ones).

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

The square root of 664981632 is about 25787.2377737516. The cubic root of 664981632 is about 872.8438370821.

The spelling of 664981632 in words is "six hundred sixty-four million, nine hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 82463 164926 247389 329852 494778 577241 659704 742167 989556 1154482 1319408 1484334 1731723 1979112 2308964 2638816 2968668 3463446 3958224 4617928 5195169 5277632 5937336 6926892 7916448 9235856 10390338 10555264 11874672 13853784 15832896 18471712 20780676 23749344 27707568 31665792 36943424 41561352 47498688 55415136 73886848 83122704 94997376 110830272 166245408 221660544 332490816 664981632