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161043723135 = 325612812743
BaseRepresentation
bin1001010111111011110…
…1000011001101111111
3120101200102011202222100
42111332331003031333
510114304143120020
6201552113520143
714430546026541
oct2257675031577
9511612152870
10161043723135
1162330a8a869
1227265273053
1312256575189
147b1a3a3691
1542c8408a90
hex257ef4337f

161043723135 has 72 divisors (see below), whose sum is σ = 285115046112. Its totient is φ = 84068006400.

The previous prime is 161043723133. The next prime is 161043723149. The reversal of 161043723135 is 531327340161.

161043723135 is a `hidden beast` number, since 1 + 610 + 4 + 3 + 7 + 2 + 3 + 1 + 35 = 666.

It is not a de Polignac number, because 161043723135 - 21 = 161043723133 is a prime.

It is a super-2 number, since 2×1610437231352 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161043723135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161043723133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216747574 + ... + 216748316.

It is an arithmetic number, because the mean of its divisors is an integer number (3959931196).

Almost surely, 2161043723135 is an apocalyptic number.

161043723135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

161043723135 is a deficient number, since it is larger than the sum of its proper divisors (124071322977).

161043723135 is an equidigital number, since it uses as much as digits as its factorization.

161043723135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 161043723135 in words is "one hundred sixty-one billion, forty-three million, seven hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 61 183 281 305 549 743 843 915 1405 2229 2529 2745 3715 4215 6687 11145 12645 17141 33435 45323 51423 78961 85705 135969 154269 208783 226615 236883 257115 394805 407907 626349 679845 710649 771345 1043915 1184415 1879047 2039535 3131745 3553245 4816621 9395235 12735763 14449863 24083105 38207289 43349589 58668023 63678815 72249315 114621867 176004069 191036445 216747945 293340115 528012207 573109335 880020345 2640061035 3578749403 10736248209 17893747015 32208744627 53681241045 161043723135