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638636741064 = 233371922230463
BaseRepresentation
bin10010100101100011011…
…01110101000111001000
32021001102200200212022000
421102301231311013020
540430412001203224
61205215145431000
764066004505660
oct11226155650710
92231380625260
10638636741064
11226931877a63
12a393219b460
13482b945667a
1422ca57851a0
151192bd1b0c9
hex94b1b751c8

638636741064 has 128 divisors (see below), whose sum is σ = 2134124544000. Its totient is φ = 172864072512.

The previous prime is 638636741033. The next prime is 638636741077. The reversal of 638636741064 is 460147636836.

638636741064 is a `hidden beast` number, since 63 + 86 + 36 + 7 + 410 + 64 = 666.

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

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 638636741064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11086504 + ... + 11143959.

It is an arithmetic number, because the mean of its divisors is an integer number (16672848000).

Almost surely, 2638636741064 is an apocalyptic number.

It is an amenable number.

638636741064 is an abundant number, since it is smaller than the sum of its proper divisors (1495487802936).

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

638636741064 is a wasteful number, since it uses less digits than its factorization.

638636741064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22230504 (or 22230494 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 638636741064 in words is "six hundred thirty-eight billion, six hundred thirty-six million, seven hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 22230463 44460926 66691389 88921852 133382778 155613241 177843704 200074167 266765556 311226482 400148334 422378797 466839723 533531112 600222501 622452964 800296668 844757594 933679446 1200445002 1244905928 1267136391 1400519169 1600593336 1689515188 1867358892 2400890004 2534272782 2801038338 2956651579 3379030376 3734717784 3801409173 4201557507 4801780008 5068545564 5602076676 5913303158 7602818346 8403115014 8869954737 10137091128 11204153352 11404227519 11826606316 15205636692 16806230028 17739909474 22808455038 23653212632 26609864211 30411273384 33612460056 35479818948 45616910076 53219728422 70959637896 79829592633 91233820152 106439456844 159659185266 212878913688 319318370532 638636741064