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197443367716 = 227217218672
BaseRepresentation
bin1011011111100010001…
…0101011001100100100
3200212122011112022022211
42313320202223030210
511213331000231331
6230412040333204
720156554635400
oct2677042531444
9625564468284
10197443367716
117680a6a7561
1232323474204
13158077518ca
1497b072c100
155208cad8b1
hex2df88ab324

197443367716 has 81 divisors (see below), whose sum is σ = 427201319601. Its totient is φ = 79598365056.

The previous prime is 197443367711. The next prime is 197443367747. The reversal of 197443367716 is 617763344791.

The square root of 197443367716 is 444346.

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

197443367716 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., 153718884900 + 43724482816 = 392070^2 + 209104^2 .

It is not an unprimeable number, because it can be changed into a prime (197443367711) 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 26 ways as a sum of consecutive naturals, for example, 105753415 + ... + 105755281.

Almost surely, 2197443367716 is an apocalyptic number.

197443367716 is the 444346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197443367716

197443367716 is an abundant number, since it is smaller than the sum of its proper divisors (229757951885).

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

197443367716 is an equidigital number, since it uses as much as digits as its factorization.

197443367716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 1893 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 58.

The spelling of 197443367716 in words is "one hundred ninety-seven billion, four hundred forty-three million, three hundred sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 476 578 833 1156 1666 1867 2023 3332 3734 4046 7468 8092 13069 14161 26138 28322 31739 52276 56644 63478 91483 126956 182966 222173 365932 444346 539563 888692 1079126 1555211 2158252 3110422 3485689 3776941 6220844 6971378 7553882 13942756 15107764 24399823 26438587 48799646 52877174 59256713 97599292 105754348 118513426 170798761 237026852 341597522 414796991 683195044 829593982 1007364121 1659187964 2014728242 2903578937 4029456484 5807157874 7051548847 11614315748 14103097694 28206195388 49360841929 98721683858 197443367716