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66187103201 = 1132098127917
BaseRepresentation
bin111101101001000011…
…110000101111100001
320022211200201012202122
4331221003300233201
52041022344300301
650223403154025
74532115044312
oct755103605741
9208750635678
1066187103201
112608499229a
12109b1b15915
13631a515cbb
1432bc488609
151ac59e881b
hexf690f0be1

66187103201 has 8 divisors (see below), whose sum is σ = 66778404264. Its totient is φ = 65595900160.

The previous prime is 66187103173. The next prime is 66187103239. The reversal of 66187103201 is 10230178166.

It can be written as a sum of positive squares in 4 ways, for example, as 7719379600 + 58467723601 = 87860^2 + 241801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66187103201 - 218 = 66186841057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66187103251) 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 7 ways as a sum of consecutive naturals, for example, 2356895 + ... + 2384811.

It is an arithmetic number, because the mean of its divisors is an integer number (8347300533).

Almost surely, 266187103201 is an apocalyptic number.

It is an amenable number.

66187103201 is a deficient number, since it is larger than the sum of its proper divisors (591301063).

66187103201 is a wasteful number, since it uses less digits than its factorization.

66187103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49011.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 66187103201 in words is "sixty-six billion, one hundred eighty-seven million, one hundred three thousand, two hundred one".

Divisors: 1 113 20981 27917 2370853 3154621 585726577 66187103201