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66466939392 = 293371936151
BaseRepresentation
bin111101111001101111…
…010000001000000000
320100120012021100212000
4331321233100020000
52042111014030032
650311241104000
74542053443260
oct757157201000
9210505240760
1066466939392
1126208944377
1210a6b788000
1363634a3c49
1433076cd7a0
151ae0372e7c
hexf79bd0200

66466939392 has 320 divisors, whose sum is σ = 236694374400. Its totient is φ = 17990553600.

The previous prime is 66466939369. The next prime is 66466939393. The reversal of 66466939392 is 29393966466.

66466939392 is a `hidden beast` number, since 66 + 46 + 69 + 393 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66466939393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820517 + ... + 1856667.

It is an arithmetic number, because the mean of its divisors is an integer number (739669920).

Almost surely, 266466939392 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 66466939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118347187200).

66466939392 is an abundant number, since it is smaller than the sum of its proper divisors (170227435008).

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

66466939392 is a wasteful number, since it uses less digits than its factorization.

66466939392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36204 (or 36182 counting only the distinct ones).

The product of its digits is 68024448, while the sum is 63.

The spelling of 66466939392 in words is "sixty-six billion, four hundred sixty-six million, nine hundred thirty-nine thousand, three hundred ninety-two".