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187193482245 = 3457116002677
BaseRepresentation
bin1010111001010110011…
…0011101110000000101
3122220011211120011210000
42232111212131300011
511031333012412440
6221555005551513
716344554226360
oct2562546356005
9586154504700
10187193482245
117242a927930
1230342875599
1314863061c13
1490bb31d0d7
154d08ee0730
hex2b9599dc05

187193482245 has 80 divisors (see below), whose sum is σ = 418362645888. Its totient is φ = 77794680960.

The previous prime is 187193482207. The next prime is 187193482297. The reversal of 187193482245 is 542284391781.

187193482245 is a `hidden beast` number, since 1 + 8 + 71 + 9 + 348 + 224 + 5 = 666.

187193482245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 187193482245 - 26 = 187193482181 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 187193482191 and 187193482200.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2970154 + ... + 3032523.

Almost surely, 2187193482245 is an apocalyptic number.

187193482245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

187193482245 is an abundant number, since it is smaller than the sum of its proper divisors (231169163643).

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

187193482245 is a wasteful number, since it uses less digits than its factorization.

187193482245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002712 (or 6002703 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 187193482245 in words is "one hundred eighty-seven billion, one hundred ninety-three million, four hundred eighty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 6002677 18008031 30013385 42018739 54024093 66029447 90040155 126056217 162072279 198088341 210093695 270120465 330147235 378168651 462206129 486216837 594265023 630281085 810361395 990441705 1134505953 1386618387 1782795069 1890843255 2311030645 2431084185 2971325115 3403517859 4159855161 5348385207 5672529765 6933091935 8913975345 12479565483 17017589295 20799275805 26741926035 37438696449 62397827415 187193482245