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327680766252 = 223371693256019
BaseRepresentation
bin1001100010010110100…
…10111011000100101100
31011022210122011122112000
410301023102323010230
520332042234010002
6410311240012300
732450143361640
oct4611322730454
91138718148460
10327680766252
11116a72282724
125360b761090
1324b91876138
1411c07552c20
1587cc8b761c
hex4c4b4bb12c

327680766252 has 96 divisors (see below), whose sum is σ = 971483251200. Its totient is φ = 93567410496.

The previous prime is 327680766239. The next prime is 327680766277. The reversal of 327680766252 is 252667086723.

327680766252 is a `hidden beast` number, since 3 + 2 + 7 + 6 + 8 + 0 + 7 + 6 + 625 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 1151899 + ... + 1407917.

It is an arithmetic number, because the mean of its divisors is an integer number (10119617200).

Almost surely, 2327680766252 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 327680766252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485741625600).

327680766252 is an abundant number, since it is smaller than the sum of its proper divisors (643802484948).

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

327680766252 is a wasteful number, since it uses less digits than its factorization.

327680766252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257732 (or 257724 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 327680766252 in words is "three hundred twenty-seven billion, six hundred eighty million, seven hundred sixty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1693 3386 5079 6772 10158 11851 15237 20316 23702 30474 35553 45711 47404 60948 71106 91422 106659 142212 182844 213318 256019 319977 426636 512038 639954 768057 1024076 1279908 1536114 1792133 2304171 3072228 3584266 4608342 5376399 6912513 7168532 9216684 10752798 13825026 16129197 21505596 27650052 32258394 48387591 64516788 96775182 193550364 433440167 866880334 1300320501 1733760668 2600641002 3034081169 3900961503 5201282004 6068162338 7801923006 9102243507 11702884509 12136324676 15603846012 18204487014 23405769018 27306730521 36408974028 46811538036 54613461042 81920191563 109226922084 163840383126 327680766252