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186143925136 = 2413282972
BaseRepresentation
bin1010110101011100001…
…0101110001110010000
3122210110200122011002111
42231113002232032100
511022210321101021
6221302514155104
716306551154201
oct2552702561620
9583420564074
10186143925136
1171a41436064
12300ab282a94
1314726793100
14901bb915a8
154c96cc08e1
hex2b570ae390

186143925136 has 45 divisors (see below), whose sum is σ = 390577580211. Its totient is φ = 85902226176.

The previous prime is 186143925133. The next prime is 186143925139. The reversal of 186143925136 is 631529341681.

The square root of 186143925136 is 431444.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (186143925133) and next prime (186143925139).

It can be written as a sum of positive squares in 4 ways, for example, as 16992686736 + 169151238400 = 130356^2 + 411280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 186143925136.

It is not an unprimeable number, because it can be changed into a prime (186143925133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22430940 + ... + 22439236.

Almost surely, 2186143925136 is an apocalyptic number.

186143925136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

186143925136 is the 431444-th square number.

It is an amenable number.

186143925136 is an abundant number, since it is smaller than the sum of its proper divisors (204433655075).

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

186143925136 is an frugal number, since it uses more digits than its factorization.

186143925136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16628 (or 8312 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

Multiplying 186143925136 by its sum of digits (49), we get a square (9121052331664 = 30201082).

The spelling of 186143925136 in words is "one hundred eighty-six billion, one hundred forty-three million, nine hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 8297 16594 33188 66376 107861 132752 215722 431444 862888 1402193 1725776 2804386 5608772 11217544 22435088 68840209 137680418 275360836 550721672 894922717 1101443344 1789845434 3579690868 7159381736 11633995321 14318763472 23267990642 46535981284 93071962568 186143925136