Search a number
-
+
105339161480 = 23571991890509
BaseRepresentation
bin110001000011010110…
…1000000101110001000
3101001220021012211220012
41202012231000232020
53211213311131410
6120220411451052
710416255045650
oct1420655005610
9331807184805
10105339161480
1140746235153
12184b9a56a88
139c199cb0a7
1451541ab360
152b17d38605
hex1886b40b88

105339161480 has 64 divisors (see below), whose sum is σ = 272233440000. Its totient is φ = 35934776064.

The previous prime is 105339161479. The next prime is 105339161527. The reversal of 105339161480 is 84161933501.

105339161480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053391614802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889535 + ... + 1000974.

It is an arithmetic number, because the mean of its divisors is an integer number (4253647500).

Almost surely, 2105339161480 is an apocalyptic number.

105339161480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105339161480 is an abundant number, since it is smaller than the sum of its proper divisors (166894278520).

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

105339161480 is a wasteful number, since it uses less digits than its factorization.

105339161480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890726 (or 1890722 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 105339161480 in words is "one hundred five billion, three hundred thirty-nine million, one hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 11144 13930 27860 55720 1890509 3781018 7562036 9452545 13233563 15124072 18905090 26467126 37810180 52934252 66167815 75620360 105868504 132335630 264671260 376211291 529342520 752422582 1504845164 1881056455 2633479037 3009690328 3762112910 5266958074 7524225820 10533916148 13167395185 15048451640 21067832296 26334790370 52669580740 105339161480