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13398220688164 = 2213223261212
BaseRepresentation
bin1100001011111000010000…
…1011110100101100100100
31202102212011000222111021221
43002332010023310230210
53224004023444010124
644255020235550124
72551663253531344
oct302760413645444
952385130874257
1013398220688164
1142a6176318844
1216047b8bbb344
137625a679b100
14344697b78d24
151837b9c61ce4
hexc2f842f4b24

13398220688164 has 81 divisors (see below), whose sum is σ = 26545442999859. Its totient is φ = 5913967213440.

The previous prime is 13398220688143. The next prime is 13398220688183. The reversal of 13398220688164 is 46188602289331.

The square root of 13398220688164 is 3660358.

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 7307236176100 + 6090984512064 = 2703190^2 + 2467992^2 .

It is a Duffinian number.

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, 2188891024 + ... + 2188897144.

Almost surely, 213398220688164 is an apocalyptic number.

13398220688164 is the 3660358-th square number.

It is an amenable number.

13398220688164 is a deficient number, since it is larger than the sum of its proper divisors (13147222311695).

13398220688164 is an frugal number, since it uses more digits than its factorization.

13398220688164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 13398220688164 in words is "thirteen trillion, three hundred ninety-eight billion, two hundred twenty million, six hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 13 23 26 46 52 92 169 299 338 529 598 676 1058 1196 2116 3887 6121 6877 7774 12242 13754 15548 24484 27508 79573 89401 140783 159146 178802 281566 318292 357604 563132 1034449 1830179 2068898 3238009 3660358 4137796 6476018 7320716 12952036 23792327 37466641 42094117 47584654 74933282 84188234 95169308 149866564 168376468 487066333 547223521 861732743 974132666 1094447042 1723465486 1948265332 2188894084 3446930972 6331862329 11202525659 12663724658 19819853089 22405051318 25327449316 39639706178 44810102636 79279412356 145632833567 257658090157 291265667134 515316180314 582531334268 1030632360628 3349555172041 6699110344082 13398220688164