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104765030359441 = 1726020872
BaseRepresentation
bin10111110100100010000010…
…011010110110000110010001
3111201221102212002121011120221
4113310202002122312012101
5102212432240233000231
61010452220204233041
731032011055000514
oct2764420232660621
9451842762534527
10104765030359441
1130421666467a51
12b9001b883b781
13465c3b9066b2a
141bc2924030d7b
15c1a2a39d6d11
hex5f48826b6191

104765030359441 has 9 divisors (see below), whose sum is σ = 111290372800699. Its totient is φ = 98602217747104.

The previous prime is 104765030359427. The next prime is 104765030359459. The reversal of 104765030359441 is 144953030567401.

The square root of 104765030359441 is 10235479.

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

It can be written as a sum of positive squares in only one way, i.e., 81564470003025 + 23200560356416 = 9031305^2 + 4816696^2 .

It is not a de Polignac number, because 104765030359441 - 225 = 104764996805009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104765030359421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173702100 + ... + 174304186.

Almost surely, 2104765030359441 is an apocalyptic number.

104765030359441 is the 10235479-th square number.

104765030359441 is the 5117740-th centered octagonal number.

It is an amenable number.

104765030359441 is a deficient number, since it is larger than the sum of its proper divisors (6525342441258).

104765030359441 is an frugal number, since it uses more digits than its factorization.

104765030359441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204208 (or 602104 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 104765030359441 in words is "one hundred four trillion, seven hundred sixty-five billion, thirty million, three hundred fifty-nine thousand, four hundred forty-one".

Divisors: 1 17 289 602087 10235479 174003143 362508755569 6162648844673 104765030359441