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109047229729 = 2925921932
BaseRepresentation
bin110010110001110111…
…0001010110100100001
3101102110200121020021021
41211203232022310201
53241312042322404
6122032352325441
710610202105364
oct1454356126441
9342420536237
10109047229729
1142279355769
1219173843881
13a38acb8209
1453c684c0db
152c83645454
hex1963b8ad21

109047229729 has 27 divisors (see below), whose sum is σ = 115482112473. Its totient is φ = 102966173184.

The previous prime is 109047229717. The next prime is 109047229747. The reversal of 109047229729 is 927922740901.

The square root of 109047229729 is 330223.

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 6485886225 + 102561343504 = 80535^2 + 320252^2 .

It is not a de Polignac number, because 109047229729 - 219 = 109046705441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109047229789) 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, 565011457 + ... + 565011649.

Almost surely, 2109047229729 is an apocalyptic number.

109047229729 is the 330223-rd square number.

109047229729 is the 165112-nd centered octagonal number.

It is an amenable number.

109047229729 is a deficient number, since it is larger than the sum of its proper divisors (6434882744).

109047229729 is an frugal number, since it uses more digits than its factorization.

109047229729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 109047229729 in words is "one hundred nine billion, forty-seven million, two hundred twenty-nine thousand, seven hundred twenty-nine".

Divisors: 1 29 59 193 841 1711 3481 5597 11387 37249 49619 100949 162313 330223 671833 1080221 2197691 2927521 9576467 19483157 31326409 63733039 129663769 565011553 1848258131 3760249301 109047229729