Search a number
-
+
188027854014 = 237111371440939
BaseRepresentation
bin1010111100011101010…
…1010101110010111110
3122222022222120122200010
42233013111111302332
511040040112312024
6222213453244050
716404335250210
oct2570725256276
9588288518603
10188027854014
1172818904780
1230536193626
1314966b8a920
14915a0745b0
154d573a6b29
hex2bc7555cbe

188027854014 has 128 divisors (see below), whose sum is σ = 512026583040. Its totient is φ = 44446550400.

The previous prime is 188027853997. The next prime is 188027854019. The reversal of 188027854014 is 410458720881.

It is a super-2 number, since 2×1880278540142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188027854019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205957 + ... + 646895.

It is an arithmetic number, because the mean of its divisors is an integer number (4000207680).

Almost surely, 2188027854014 is an apocalyptic number.

188027854014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 188027854014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256013291520).

188027854014 is an abundant number, since it is smaller than the sum of its proper divisors (323998729026).

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

188027854014 is a wasteful number, since it uses less digits than its factorization.

188027854014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441046.

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 188027854014 in words is "one hundred eighty-eight billion, twenty-seven million, eight hundred fifty-four thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 71 77 78 91 142 143 154 182 213 231 273 286 426 429 462 497 546 781 858 923 994 1001 1491 1562 1846 2002 2343 2769 2982 3003 4686 5467 5538 6006 6461 10153 10934 12922 16401 19383 20306 30459 32802 38766 60918 71071 142142 213213 426426 440939 881878 1322817 2645634 3086573 4850329 5732207 6173146 9259719 9700658 11464414 14550987 17196621 18519438 29101974 31306669 33952303 34393242 40125449 62613338 63054277 67904606 80250898 93920007 101856909 120376347 126108554 187840014 189162831 203713818 219146683 240752694 344373359 378325662 406986697 438293366 441379939 657440049 688746718 813973394 882759878 1033120077 1220960091 1314880098 1324139817 2066240154 2410613513 2441920182 2648279634 2848906879 4476853667 4821227026 5697813758 7231840539 8546720637 8953707334 13430561001 14463681078 17093441274 26861122002 31337975669 62675951338 94013927007 188027854014