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197111136784 = 2417265292
BaseRepresentation
bin1011011110010010111…
…1010100001000010000
3200211210000101020011111
42313210233110020100
511212140422334114
6230315051423104
720145412006162
oct2674457241020
9624700336144
10197111136784
117665a109541
1232250154a94
131578397a563
14977c568932
1551d9a34bc4
hex2de4bd4210

197111136784 has 45 divisors (see below), whose sum is σ = 405751308807. Its totient is φ = 92743974912.

The previous prime is 197111136757. The next prime is 197111136791. The reversal of 197111136784 is 487631111791.

The square root of 197111136784 is 443972.

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 7126736400 + 189984400384 = 84420^2 + 435872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30186832 + ... + 30193360.

Almost surely, 2197111136784 is an apocalyptic number.

197111136784 is the 443972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197111136784

197111136784 is an abundant number, since it is smaller than the sum of its proper divisors (208640172023).

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

197111136784 is an frugal number, since it uses more digits than its factorization.

197111136784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 6548 counting only the distinct ones).

The product of its digits is 254016, while the sum is 49.

Multiplying 197111136784 by its sum of digits (49), we get a square (9658445702416 = 31078042).

The spelling of 197111136784 in words is "one hundred ninety-seven billion, one hundred eleven million, one hundred thirty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 6529 13058 26116 52232 104464 110993 221986 443972 887944 1775888 1886881 3773762 7547524 15095048 30190096 42627841 85255682 170511364 341022728 682045456 724673297 1449346594 2898693188 5797386376 11594772752 12319446049 24638892098 49277784196 98555568392 197111136784