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104542671348 = 22323778485489
BaseRepresentation
bin110000101011100111…
…0101001000111110100
3100222211202110221211200
41201113032221013310
53203100410440343
6120005400132500
710360444021203
oct1412716510764
9328752427750
10104542671348
1140377681345
1218317167130
139b209a695b
1450ba4b723a
152abce564d3
hex18573a91f4

104542671348 has 36 divisors (see below), whose sum is σ = 271402824420. Its totient is φ = 33905730816.

The previous prime is 104542671341. The next prime is 104542671353. The reversal of 104542671348 is 843176245401.

104542671348 is a `hidden beast` number, since 1 + 0 + 4 + 542 + 6 + 71 + 34 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99062526564 + 5480144784 = 314742^2 + 74028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104542671341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39241413 + ... + 39244076.

It is an arithmetic number, because the mean of its divisors is an integer number (7538967345).

Almost surely, 2104542671348 is an apocalyptic number.

104542671348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104542671348 is an abundant number, since it is smaller than the sum of its proper divisors (166860153072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104542671348 is a wasteful number, since it uses less digits than its factorization.

104542671348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78485536 (or 78485531 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 104542671348 in words is "one hundred four billion, five hundred forty-two million, six hundred seventy-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 78485489 156970978 235456467 313941956 470912934 706369401 941825868 1412738802 2825477604 2903963093 5807926186 8711889279 11615852372 17423778558 26135667837 34847557116 52271335674 104542671348