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319173022116 = 223213272432
BaseRepresentation
bin1001010010100000011…
…00011101000110100100
31010111211201100110121100
410221100030131012210
520212131243201431
6402343121320100
732026255632114
oct4512014350644
91114751313540
10319173022116
111133a6939623
1251a36496030
1324137099100
141163b679044
158480a244e6
hex4a5031d1a4

319173022116 has 81 divisors (see below), whose sum is σ = 873754483329. Its totient is φ = 98193524832.

The previous prime is 319173022099. The next prime is 319173022117. The reversal of 319173022116 is 611220371913.

The square root of 319173022116 is 564954.

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

319173022116 is a `hidden beast` number, since 319 + 1 + 7 + 302 + 21 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47214944100 + 271958078016 = 217290^2 + 521496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (319173022117) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44062791 + ... + 44070033.

Almost surely, 2319173022116 is an apocalyptic number.

319173022116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

319173022116 is the 564954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319173022116

319173022116 is an abundant number, since it is smaller than the sum of its proper divisors (554581461213).

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

319173022116 is an equidigital number, since it uses as much as digits as its factorization.

319173022116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14522 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 319173022116 by its sum of digits (36), we get a square (11490228796176 = 33897242).

319173022116 divided by its sum of digits (36) gives a square (8865917281 = 941592).

The spelling of 319173022116 in words is "three hundred nineteen billion, one hundred seventy-three million, twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 7243 14486 21729 28972 43458 65187 86916 94159 130374 188318 260748 282477 376636 564954 847431 1129908 1224067 1694862 2448134 3389724 3672201 4896268 7344402 11016603 14688804 22033206 44066412 52461049 104922098 157383147 209844196 314766294 472149441 629532588 681993637 944298882 1363987274 1888597764 2045980911 2727974548 4091961822 6137942733 8183923644 8865917281 12275885466 17731834562 24551770932 26597751843 35463669124 53195503686 79793255529 106391007372 159586511058 319173022116