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639664128 = 21534241
BaseRepresentation
bin100110001000001…
…000000000000000
31122120122022020000
4212020020000000
52302223223003
6143250120000
721565024665
oct4610100000
91576568200
10639664128
112a908a144
1215a280000
13a26a55ac
1460d4da6c
153b2551a3
hex26208000

639664128 has 160 divisors (see below), whose sum is σ = 1918995870. Its totient is φ = 212336640.

The previous prime is 639664121. The next prime is 639664147. The reversal of 639664128 is 821466936.

639664128 is a `hidden beast` number, since 639 + 6 + 6 + 4 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 479084544 + 160579584 = 21888^2 + 12672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (639664121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654088 + ... + 2654328.

Almost surely, 2639664128 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 639664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959497935).

639664128 is an abundant number, since it is smaller than the sum of its proper divisors (1279331742).

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

639664128 is an frugal number, since it uses more digits than its factorization.

639664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

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

The square root of 639664128 is about 25291.5821569154. The cubic root of 639664128 is about 861.6230966566.

The spelling of 639664128 in words is "six hundred thirty-nine million, six hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 241 256 288 324 384 432 482 512 576 648 723 768 864 964 1024 1152 1296 1446 1536 1728 1928 2048 2169 2304 2592 2892 3072 3456 3856 4096 4338 4608 5184 5784 6144 6507 6912 7712 8192 8676 9216 10368 11568 12288 13014 13824 15424 16384 17352 18432 19521 20736 23136 24576 26028 27648 30848 32768 34704 36864 39042 41472 46272 49152 52056 55296 61696 69408 73728 78084 82944 92544 98304 104112 110592 123392 138816 147456 156168 165888 185088 208224 221184 246784 277632 294912 312336 331776 370176 416448 442368 493568 555264 624672 663552 740352 832896 884736 987136 1110528 1249344 1327104 1480704 1665792 1974272 2221056 2498688 2654208 2961408 3331584 3948544 4442112 4997376 5922816 6663168 7897088 8884224 9994752 11845632 13326336 17768448 19989504 23691264 26652672 35536896 39979008 53305344 71073792 79958016 106610688 159916032 213221376 319832064 639664128