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66064696320 = 2103571973443
BaseRepresentation
bin111101100001110000…
…110100010000000000
320022112011101022002110
4331201300310100000
52040300030240240
650203311415320
74526100440040
oct754160642000
9208464338073
1066064696320
1126021887187
1210978b24540
1362cb0586ac
1432aa103720
151ab9db9c80
hexf61c34400

66064696320 has 704 divisors, whose sum is σ = 258263930880. Its totient is φ = 14077919232.

The previous prime is 66064696309. The next prime is 66064696331. The reversal of 66064696320 is 2369646066.

It is an interprime number because it is at equal distance from previous prime (66064696309) and next prime (66064696331).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66064696320.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 149130019 + ... + 149130461.

Almost surely, 266064696320 is an apocalyptic number.

66064696320 is a gapful number since it is divisible by the number (60) 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 66064696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129131965440).

66064696320 is an abundant number, since it is smaller than the sum of its proper divisors (192199234560).

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

66064696320 is a wasteful number, since it uses less digits than its factorization.

66064696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 66064696320 in words is "sixty-six billion, sixty-four million, six hundred ninety-six thousand, three hundred twenty".