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105133559448 = 2337907554011
BaseRepresentation
bin110000111101001110…
…0101100111010011000
3101001100221100011221010
41201322130230322120
53210303142400243
6120144145013520
710411210340061
oct1417234547230
9331327304833
10105133559448
1140650176315
12184610242a0
139bb6231c98
145134b6b568
152b04c74433
hex187a72ce98

105133559448 has 32 divisors (see below), whose sum is σ = 262867613760. Its totient is φ = 35040024480.

The previous prime is 105133559423. The next prime is 105133559467. The reversal of 105133559448 is 844955331501.

It is a super-2 number, since 2×1051335594482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105133559397 and 105133559406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87238 + ... + 466773.

It is an arithmetic number, because the mean of its divisors is an integer number (8214612930).

Almost surely, 2105133559448 is an apocalyptic number.

It is an amenable number.

105133559448 is an abundant number, since it is smaller than the sum of its proper divisors (157734054312).

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

105133559448 is a wasteful number, since it uses less digits than its factorization.

105133559448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561927 (or 561923 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 105133559448 in words is "one hundred five billion, one hundred thirty-three million, five hundred fifty-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 7907 15814 23721 31628 47442 63256 94884 189768 554011 1108022 1662033 2216044 3324066 4432088 6648132 13296264 4380564977 8761129954 13141694931 17522259908 26283389862 35044519816 52566779724 105133559448