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199694584384 = 268326732
BaseRepresentation
bin1011100111111010111…
…0011000101001000000
3201002110001120222000221
42321332232120221000
511232433303200014
6231423255552424
720266421650321
oct2717656305100
9632401528027
10199694584384
11777654289a9
123285138b714
1315aa5c76389
1499456dc448
1552db745b24
hex2e7eb98a40

199694584384 has 63 divisors (see below), whose sum is σ = 401697662313. Its totient is φ = 98497738752.

The previous prime is 199694584381. The next prime is 199694584399. The reversal of 199694584384 is 483485496991.

It is a happy number.

The square root of 199694584384 is 446872.

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

199694584384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65351809600 + 134342774784 = 255640^2 + 366528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199694584381) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 296722672 + ... + 296723344.

Almost surely, 2199694584384 is an apocalyptic number.

199694584384 is the 446872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199694584384

199694584384 is an abundant number, since it is smaller than the sum of its proper divisors (202003077929).

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

199694584384 is an frugal number, since it uses more digits than its factorization.

199694584384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 758 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 70.

The spelling of 199694584384 in words is "one hundred ninety-nine billion, six hundred ninety-four million, five hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 673 1328 1346 2656 2692 5312 5384 6889 10768 13778 21536 27556 43072 55112 55859 110224 111718 220448 223436 440896 446872 452929 893744 905858 1787488 1811716 3574976 3623432 4636297 7246864 9272594 14493728 18545188 28987456 37090376 37593107 74180752 75186214 148361504 150372428 296723008 300744856 601489712 1202979424 2405958848 3120227881 6240455762 12480911524 24961823048 49923646096 99847292192 199694584384