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66970064 = 247312203
BaseRepresentation
bin1111111101111…
…0000111010000
311200000102122202
43333132013100
5114121020224
610351222332
71442144000
oct377360720
9150012582
1066970064
1134891667
121a5179a8
1310b4a675
148c74000
155d2ceae
hex3fde1d0

66970064 has 40 divisors (see below), whose sum is σ = 151329600. Its totient is φ = 28699104.

The previous prime is 66970039. The next prime is 66970081. The reversal of 66970064 is 46007966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (3783240).

Almost surely, 266970064 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 66970064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75664800).

66970064 is an abundant number, since it is smaller than the sum of its proper divisors (84359536).

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

66970064 is a wasteful number, since it uses less digits than its factorization.

66970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 66970064 is about 8183.5239353227. The cubic root of 66970064 is about 406.0943102351.

The spelling of 66970064 in words is "sixty-six million, nine hundred seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 12203 24406 48812 85421 97624 170842 195248 341684 597947 683368 1195894 1366736 2391788 4185629 4783576 8371258 9567152 16742516 33485032 66970064