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644663323366446 = 2319371013601342019
BaseRepresentation
bin1001001010010100010110000…
…0011000111001010000101110
310010112120012201102110020220110
42102211011200120321100232
51133444130441240211241
610203030124200400450
7252534250060034616
oct22245054030712056
93115505642406813
10644663323366446
111774561a877a67a
12603780a2776126
132189364b95b2c7
14b529c2ad1da46
154e7e28c0d1816
hex24a516063942e

644663323366446 has 128 divisors (see below), whose sum is σ = 1407739894387200. Its totient is φ = 196104527193600.

The previous prime is 644663323366397. The next prime is 644663323366481.

It is a happy number.

644663323366446 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15342165225 + ... + 15342207243.

It is an arithmetic number, because the mean of its divisors is an integer number (10997967924900).

Almost surely, 2644663323366446 is an apocalyptic number.

644663323366446 is an abundant number, since it is smaller than the sum of its proper divisors (763076571020754).

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

644663323366446 is a wasteful number, since it uses less digits than its factorization.

644663323366446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78194.

The product of its digits is 1934917632, while the sum is 66.

The spelling of 644663323366446 in words is "six hundred forty-four trillion, six hundred sixty-three billion, three hundred twenty-three million, three hundred sixty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 19 37 38 57 74 101 111 114 202 222 303 606 703 1406 1919 2109 3737 3838 4218 5757 7474 11211 11514 22422 36013 42019 71003 72026 84038 108039 126057 142006 213009 216078 252114 426018 684247 798361 1332481 1368494 1554703 1596722 2052741 2395083 2664962 3109406 3637313 3997443 4105482 4243919 4664109 4790166 7274626 7994886 8487838 9328218 10911939 12731757 21823878 25317139 25463514 29539357 50634278 59078714 69108947 75951417 80634461 88618071 134580581 138217894 151902834 157025003 161268922 177236142 207326841 241903383 269161162 314050006 403741743 414653682 471075009 483806766 807483486 942150018 1513230247 2557031039 2983475057 3026460494 4539690741 5114062078 5966950114 7671093117 8950425171 9079381482 15342186234 17900850342 28751374693 55989519139 57502749386 86254124079 111979038278 152836254947 167968557417 172508248158 305672509894 335937114834 458508764841 917017529682 1063800863641 2127601727282 2903888843993 3191402590923 5654941433039 5807777687986 6382805181846 8711666531979 11309882866078 16964824299117 17423333063958 33929648598234 107443887227741 214887774455482 322331661683223 644663323366446