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66470688 = 25321491549
BaseRepresentation
bin1111110110010…
…0001100100000
311122002001122100
43331210030200
5114004030223
610332410400
71434664044
oct375441440
9148061570
1066470688
1134580459
121a316a00
1310a0428b
148b84024
155c80043
hex3f64320

66470688 has 72 divisors (see below), whose sum is σ = 190417500. Its totient is φ = 21993984.

The previous prime is 66470671. The next prime is 66470689. The reversal of 66470688 is 88607466.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 5817744 = 7788^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (66470689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42138 + ... + 43686.

Almost surely, 266470688 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 66470688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95208750).

66470688 is an abundant number, since it is smaller than the sum of its proper divisors (123946812).

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

66470688 is a wasteful number, since it uses less digits than its factorization.

66470688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 66470688 is about 8152.9557830274. The cubic root of 66470688 is about 405.0824157836.

The spelling of 66470688 in words is "sixty-six million, four hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1549 1788 2384 2682 3098 3576 4647 4768 5364 6196 7152 9294 10728 12392 13941 14304 18588 21456 24784 27882 37176 42912 49568 55764 74352 111528 148704 223056 230801 446112 461602 692403 923204 1384806 1846408 2077209 2769612 3692816 4154418 5539224 7385632 8308836 11078448 16617672 22156896 33235344 66470688