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66744228096 = 2834721331163
BaseRepresentation
bin111110001010010001…
…000001100100000000
320101021112001002110000
4332022101001210000
52043143010244341
650354544240000
74551661402200
oct761221014400
9211245032400
1066744228096
1126340416497
1210b28610000
1363a8a7c4c0
143332470400
151b098978b6
hexf8a441900

66744228096 has 1080 divisors, whose sum is σ = 258942292224. Its totient is φ = 16930529280.

The previous prime is 66744228043. The next prime is 66744228137. The reversal of 66744228096 is 69082244766.

66744228096 is a `hidden beast` number, since 66 + 74 + 422 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 409473711 + ... + 409473873.

Almost surely, 266744228096 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 66744228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129471146112).

66744228096 is an abundant number, since it is smaller than the sum of its proper divisors (192198064128).

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

66744228096 is a wasteful number, since it uses less digits than its factorization.

66744228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 66744228096 in words is "sixty-six billion, seven hundred forty-four million, two hundred twenty-eight thousand, ninety-six".