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643816873924 = 227237215492
BaseRepresentation
bin10010101111001100111…
…10011101111111000100
32021112210201000212200121
421113212132131333010
541022014104431144
61211433153551324
764341245064100
oct11274636357704
92245721025617
10643816873924
1122904a9284a4
12a4938b75544
1348933704743
1423237736900
1511b319a5384
hex95e679dfc4

643816873924 has 81 divisors (see below), whose sum is σ = 1347877084743. Its totient is φ = 268290864576.

The previous prime is 643816873901. The next prime is 643816873937. The reversal of 643816873924 is 429378618346.

The square root of 643816873924 is 802382.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52812636100 + 591004237824 = 229810^2 + 768768^2 .

It is a super-2 number, since 2×6438168739242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 415633102 + ... + 415634650.

Almost surely, 2643816873924 is an apocalyptic number.

643816873924 is the 802382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643816873924

643816873924 is an abundant number, since it is smaller than the sum of its proper divisors (704060210819).

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

643816873924 is an equidigital number, since it uses as much as digits as its factorization.

643816873924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 1595 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 61.

The spelling of 643816873924 in words is "six hundred forty-three billion, eight hundred sixteen million, eight hundred seventy-three thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1369 1549 1813 2738 3098 3626 5476 6196 7252 9583 10843 19166 21686 38332 43372 57313 67081 75901 114626 134162 151802 229252 268324 303604 401191 802382 1604764 2120581 2399401 2808337 4241162 4798802 5616674 8482324 9597604 11233348 14844067 16795807 29688134 33591614 59376268 67183228 88777837 103908469 117570649 177555674 207816938 235141298 355111348 415633876 470282596 621444859 1242889718 2485779436 3284779969 4350114013 6569559938 8700228026 13139119876 17400456052 22993459783 45986919566 91973839132 160954218481 321908436962 643816873924