Search a number
-
+
105374343426 = 23113175036533
BaseRepresentation
bin110001000100011001…
…1001110000100000010
3101001222201102021110020
41202020303032010002
53211301312442201
6120224105514310
710420163066142
oct1421063160402
9331881367406
10105374343426
1140764084940
12185097a2996
139c24098901
145158b28922
152b1ae87a36
hex1888cce102

105374343426 has 32 divisors (see below), whose sum is σ = 230632964928. Its totient is φ = 31830882240.

The previous prime is 105374343409. The next prime is 105374343467. The reversal of 105374343426 is 624343473501.

It is a happy number.

It is a super-2 number, since 2×1053743434262 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497345 + ... + 2539188.

It is an arithmetic number, because the mean of its divisors is an integer number (7207280154).

Almost surely, 2105374343426 is an apocalyptic number.

105374343426 is an abundant number, since it is smaller than the sum of its proper divisors (125258621502).

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

105374343426 is a wasteful number, since it uses less digits than its factorization.

105374343426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036866.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 105374343426 in words is "one hundred five billion, three hundred seventy-four million, three hundred forty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 317 634 951 1902 3487 6974 10461 20922 5036533 10073066 15109599 30219198 55401863 110803726 166205589 332411178 1596580961 3193161922 4789742883 9579485766 17562390571 35124781142 52687171713 105374343426