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3719254960369 = 132109213612
BaseRepresentation
bin110110000111110100110…
…111101110100011110001
3111011120001021101000012101
4312013310313232203301
5441414013232212434
611524334021300401
7532464414355234
oct66076467564361
914146037330171
103719254960369
111204366512063
12500996b64701
1320c9551c5a00
14cc02758341b
1566b2de49b14
hex361f4dee8f1

3719254960369 has 27 divisors (see below), whose sum is σ = 4067634852099. Its totient is φ = 3399162174720.

The previous prime is 3719254960357. The next prime is 3719254960391. The reversal of 3719254960369 is 9630694529173.

The square root of 3719254960369 is 1928537.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3514668815025 + 204586145344 = 1874745^2 + 452312^2 .

It is not a de Polignac number, because 3719254960369 - 231 = 3717107476721 is a prime.

It is a super-2 number, since 2×37192549603692 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3719254960369.

It is not an unprimeable number, because it can be changed into a prime (3719254960339) 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, 2732736249 + ... + 2732737609.

Almost surely, 23719254960369 is an apocalyptic number.

3719254960369 is the 1928537-th square number.

3719254960369 is the 964269-th centered octagonal number.

It is an amenable number.

3719254960369 is a deficient number, since it is larger than the sum of its proper divisors (348379891730).

3719254960369 is an frugal number, since it uses more digits than its factorization.

3719254960369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

Multiplying 3719254960369 by its sum of digits (64), we get a square (238032317463616 = 154282962).

The spelling of 3719254960369 in words is "three trillion, seven hundred nineteen billion, two hundred fifty-four million, nine hundred sixty thousand, three hundred sixty-nine".

Divisors: 1 13 109 169 1361 1417 11881 17693 18421 148349 154453 230009 1852321 1928537 2007889 16170041 24080173 25070981 201902989 210210533 313042249 2624738857 2732736929 22007425801 34121605141 286096535413 3719254960369