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168269418345 = 357101139211541
BaseRepresentation
bin1001110010110110100…
…0111000111101101001
3121002022222121010101110
42130231220320331221
510224103432341340
6205145113340533
715104605312410
oct2345550707551
9532288533343
10168269418345
11653a97775a6
1228741107749
1312b38560b82
148203cb0477
15459c955680
hex272da38f69

168269418345 has 128 divisors (see below), whose sum is σ = 315039191040. Its totient is φ = 75116160000.

The previous prime is 168269418337. The next prime is 168269418367. The reversal of 168269418345 is 543814962861.

It is not a de Polignac number, because 168269418345 - 23 = 168269418337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 311033775 + ... + 311034315.

It is an arithmetic number, because the mean of its divisors is an integer number (2461243680).

Almost surely, 2168269418345 is an apocalyptic number.

168269418345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168269418345 is a deficient number, since it is larger than the sum of its proper divisors (146769772695).

168269418345 is a wasteful number, since it uses less digits than its factorization.

168269418345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007.

The product of its digits is 9953280, while the sum is 57.

The spelling of 168269418345 in words is "one hundred sixty-eight billion, two hundred sixty-nine million, four hundred eighteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 101 105 139 211 303 417 505 541 633 695 707 973 1055 1477 1515 1623 2085 2121 2705 2919 3165 3535 3787 4431 4865 7385 8115 10605 11361 14039 14595 18935 21311 22155 29329 42117 54641 56805 63933 70195 75199 87987 98273 106555 114151 146645 149177 163923 205303 210585 225597 273205 294819 319665 342453 375995 382487 439935 447531 491365 526393 570755 615909 745885 799057 819615 1026515 1127985 1147461 1474095 1579179 1712265 1912435 2237655 2397171 2631965 2962229 3079545 3995285 5737305 7595099 7895895 8886687 11529251 11985855 14811145 15866989 20735603 22785297 34587753 37975495 44433435 47600967 53165693 57646255 62206809 79334945 80704757 103678015 111068923 113926485 159497079 172938765 238004835 242114271 265828465 311034045 333206769 403523785 555344615 797485395 1210571355 1602565889 1666033845 4807697667 8012829445 11217961223 24038488335 33653883669 56089806115 168269418345