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104359364209 = 37287312
BaseRepresentation
bin110000100110001001…
…1011000011001110001
3100222100222112222201101
41201030103120121301
53202211444123314
6115535251204401
710353056650102
oct1411423303161
9328328488641
10104359364209
114029315aa41
12182858a6701
139ac1a156a9
14509dddc3a9
152aabce8174
hex184c4d8671

104359364209 has 9 divisors (see below), whose sum is σ = 107268403851. Its totient is φ = 101527211160.

The previous prime is 104359364149. The next prime is 104359364251. The reversal of 104359364209 is 902463953401.

The square root of 104359364209 is 323047.

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., 93382192225 + 10977171984 = 305585^2 + 104772^2 .

It is not a de Polignac number, because 104359364209 - 221 = 104357267057 is a prime.

It is a super-4 number, since 4×1043593642094 (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104359364609) 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, 11948374 + ... + 11957104.

It is an arithmetic number, because the mean of its divisors is an integer number (11918711539).

Almost surely, 2104359364209 is an apocalyptic number.

104359364209 is the 323047-th square number.

104359364209 is the 161524-th centered octagonal number.

It is an amenable number.

104359364209 is a deficient number, since it is larger than the sum of its proper divisors (2909039642).

104359364209 is an frugal number, since it uses more digits than its factorization.

104359364209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17536 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 104359364209 in words is "one hundred four billion, three hundred fifty-nine million, three hundred sixty-four thousand, two hundred nine".

Divisors: 1 37 1369 8731 323047 11952739 76230361 2820523357 104359364209