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66271560192 = 2932113137929
BaseRepresentation
bin111101101110000101…
…111100001000000000
320100001120122001222100
4331232011330020000
52041211004411232
650240021310400
74534161652515
oct755605741000
9210046561870
1066271560192
1126118628062
1210a16265400
136331b76c56
1432c979130c
151acd12cc7c
hexf6e17c200

66271560192 has 240 divisors, whose sum is σ = 194574477240. Its totient is φ = 21711814656.

The previous prime is 66271560191. The next prime is 66271560193. The reversal of 66271560192 is 29106517266.

66271560192 is a `hidden beast` number, since 6 + 6 + 2 + 71 + 560 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66271560191) and next prime (66271560193).

It can be written as a sum of positive squares in 4 ways, for example, as 19470295296 + 46801264896 = 139536^2 + 216336^2 .

It is not an unprimeable number, because it can be changed into a prime (66271560191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71335984 + ... + 71336912.

Almost surely, 266271560192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66271560192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97287238620).

66271560192 is an abundant number, since it is smaller than the sum of its proper divisors (128302917048).

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

66271560192 is a wasteful number, since it uses less digits than its factorization.

66271560192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 66271560192 in words is "sixty-six billion, two hundred seventy-one million, five hundred sixty thousand, one hundred ninety-two".