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3869144076196 = 2272109212892
BaseRepresentation
bin111000010011011010111…
…101010100111110100100
3111200212221022012000120201
4320103122331110332210
51001343001340414241
612121243225240244
7546351666003100
oct70233275247644
914625838160521
103869144076196
111261992a652a3
12525a48633084
13220b217c0519
14d53a630c900
156a9a2e24931
hex384daf54fa4

3869144076196 has 81 divisors (see below), whose sum is σ = 7955567913699. Its totient is φ = 1641717092736.

The previous prime is 3869144076179. The next prime is 3869144076197. The reversal of 3869144076196 is 6916704419683.

The square root of 3869144076196 is 1967014.

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 1017503933796 + 2851640142400 = 1008714^2 + 1688680^2 .

It is not an unprimeable number, because it can be changed into a prime (3869144076197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3001662720 + ... + 3001664008.

Almost surely, 23869144076196 is an apocalyptic number.

3869144076196 is the 1967014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3869144076196

3869144076196 is an abundant number, since it is smaller than the sum of its proper divisors (4086423837503).

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

3869144076196 is an equidigital number, since it uses as much as digits as its factorization.

3869144076196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 3869144076196 by its sum of digits (64), we get a square (247625220876544 = 157361122).

The spelling of 3869144076196 in words is "three trillion, eight hundred sixty-nine billion, one hundred forty-four million, seventy-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1289 1526 2578 3052 5156 5341 9023 10682 11881 18046 21364 23762 36092 47524 63161 83167 126322 140501 166334 252644 281002 332668 562004 582169 983507 1164338 1661521 1967014 2328676 3323042 3934028 6646084 6884549 11630647 13769098 15314609 23261294 27538196 30629218 46522588 61258436 81414529 107202263 162829058 181105789 214404526 325658116 362211578 428809052 724423156 750415841 1267740523 1500831682 2535481046 3001663364 5070962092 8874183661 17748367322 19740531001 35496734644 39481062002 78962124004 138183717007 276367434014 552734868028 967286019049 1934572038098 3869144076196