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191045045569 = 7217236732
BaseRepresentation
bin1011000111101100101…
…1000000110101000001
3200021010020221212101111
42301323023000311001
511112230012424234
6223433114203321
716542163044100
oct2617313006501
9607106855344
10191045045569
1174026a47414
1231038723541
1315027cb1181
149364a74037
154e821e4664
hex2c7b2c0d41

191045045569 has 27 divisors (see below), whose sum is σ = 236142057897. Its totient is φ = 154078412544.

The previous prime is 191045045563. The next prime is 191045045599. The reversal of 191045045569 is 965540540191.

The square root of 191045045569 is 437087.

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 10147943169 + 180897102400 = 100737^2 + 425320^2 .

It is not a de Polignac number, because 191045045569 - 29 = 191045045057 is a prime.

It is a super-2 number, since 2×1910450455692 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191045045563) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 52011517 + ... + 52015189.

Almost surely, 2191045045569 is an apocalyptic number.

191045045569 is the 437087-th square number.

191045045569 is the 218544-th centered octagonal number.

It is an amenable number.

191045045569 is a deficient number, since it is larger than the sum of its proper divisors (45097012328).

191045045569 is an frugal number, since it uses more digits than its factorization.

191045045569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

Multiplying 191045045569 by its sum of digits (49), we get a square (9361207232881 = 30596092).

191045045569 divided by its sum of digits (49) gives a square (3898878481 = 624412).

The spelling of 191045045569 in words is "one hundred ninety-one billion, forty-five million, forty-five thousand, five hundred sixty-nine".

Divisors: 1 7 17 49 119 289 833 2023 3673 14161 25711 62441 179977 437087 1061497 3059609 7430479 13490929 52013353 94436503 229345793 661055521 1605420551 3898878481 11237943857 27292149367 191045045569