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187035050052 = 2235557345463
BaseRepresentation
bin1010111000110000101…
…0000110000001000100
3122212202210102222200000
42232030022012001010
511031021433100202
6221531150121300
716340621460054
oct2561412060104
9585683388600
10187035050052
1172359456434
12302b97b0230
131483929cc66
1490a427b564
154cea14791c
hex2b8c286044

187035050052 has 72 divisors (see below), whose sum is σ = 491175187776. Its totient is φ = 62232906528.

The previous prime is 187035050047. The next prime is 187035050053. The reversal of 187035050052 is 250050530781.

187035050052 is a `hidden beast` number, since 1 + 8 + 70 + 35 + 0 + 500 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 187035049989 and 187035050016.

It is not an unprimeable number, because it can be changed into a prime (187035050053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368673 + ... + 714135.

It is an arithmetic number, because the mean of its divisors is an integer number (6821877608).

Almost surely, 2187035050052 is an apocalyptic number.

187035050052 is a gapful number since it is divisible by the number (12) 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 187035050052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245587593888).

187035050052 is an abundant number, since it is smaller than the sum of its proper divisors (304140137724).

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

187035050052 is a wasteful number, since it uses less digits than its factorization.

187035050052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346039 (or 346025 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 187035050052 in words is "one hundred eighty-seven billion, thirty-five million, fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 557 972 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 45117 60156 90234 135351 180468 270702 345463 541404 690926 1036389 1381852 2072778 3109167 4145556 6218334 9327501 12436668 18655002 27982503 37310004 55965006 83947509 111930012 167895018 192422891 335790036 384845782 577268673 769691564 1154537346 1731806019 2309074692 3463612038 5195418057 6927224076 10390836114 15586254171 20781672228 31172508342 46758762513 62345016684 93517525026 187035050052