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187681221080 = 23543711937963
BaseRepresentation
bin1010111011001010101…
…1000010100111011000
3122221102211022212200022
42232302223002213120
511033332343033310
6222115231530012
716362626025443
oct2566253024730
9587384285608
10187681221080
117266017a281
123045a089908
1314910113192
14912600265a
154d36c35a55
hex2bb2ac29d8

187681221080 has 128 divisors (see below), whose sum is σ = 440514961920. Its totient is φ = 71910236160.

The previous prime is 187681220959. The next prime is 187681221083. The reversal of 187681221080 is 80122186781.

187681221080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187681221083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23565179 + ... + 23573141.

It is an arithmetic number, because the mean of its divisors is an integer number (3441523140).

Almost surely, 2187681221080 is an apocalyptic number.

187681221080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187681221080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220257480960).

187681221080 is an abundant number, since it is smaller than the sum of its proper divisors (252833740840).

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

187681221080 is a wasteful number, since it uses less digits than its factorization.

187681221080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 44.

The spelling of 187681221080 in words is "one hundred eighty-seven billion, six hundred eighty-one million, two hundred twenty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 142 172 193 215 284 344 355 386 430 568 710 772 860 965 1420 1544 1720 1930 2840 3053 3860 6106 7720 7963 8299 12212 13703 15265 15926 16598 24424 27406 30530 31852 33196 39815 41495 54812 61060 63704 66392 68515 79630 82990 109624 122120 137030 159260 165980 274060 318520 331960 342409 548120 565373 589229 684818 1130746 1178458 1369636 1536859 1712045 2261492 2356916 2739272 2826865 2946145 3073718 3424090 4522984 4713832 5653730 5892290 6147436 6848180 7684295 11307460 11784580 12294872 13696360 15368590 22614920 23569160 24311039 30737180 48622078 61474360 66084937 97244156 109116989 121555195 132169874 194488312 218233978 243110390 264339748 330424685 436467956 486220780 528679496 545584945 660849370 872935912 972441560 1091169890 1321698740 2182339780 2643397480 4364679560 4692030527 9384061054 18768122108 23460152635 37536244216 46920305270 93840610540 187681221080