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66303304704 = 2103371319273
BaseRepresentation
bin111101101111111111…
…000010010000000000
320100010210100212021000
4331233333002100000
52041242121222304
650243113532000
74535025535230
oct755777022000
9210123325230
1066303304704
112613453a19a
1210a24a14000
13633860cca0
1432cda95cc0
151ad0ced939
hexf6ffc2400

66303304704 has 1056 divisors, whose sum is σ = 258554768640. Its totient is φ = 16339304448.

The previous prime is 66303304699. The next prime is 66303304709. The reversal of 66303304704 is 40740330366.

66303304704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66303304699) and next prime (66303304709).

It is a super-2 number, since 2×663033047042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (66303304709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 908264412 + ... + 908264484.

Almost surely, 266303304704 is an apocalyptic number.

66303304704 is a gapful number since it is divisible by the number (64) 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 66303304704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129277384320).

66303304704 is an abundant number, since it is smaller than the sum of its proper divisors (192251463936).

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

66303304704 is a wasteful number, since it uses less digits than its factorization.

66303304704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 66303304704 in words is "sixty-six billion, three hundred three million, three hundred four thousand, seven hundred four".