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66158368 = 253771787
BaseRepresentation
bin1111110001011…
…1111100100000
311121111012012221
43330113330200
5113414031433
610322000424
71432223353
oct374277440
9147435187
1066158368
1134387841
121a1a6114
1310925083
148b0229a
155c1c72d
hex3f17f20

66158368 has 48 divisors (see below), whose sum is σ = 135825984. Its totient is φ = 31691520.

The previous prime is 66158341. The next prime is 66158369. The reversal of 66158368 is 86385166.

It is not an unprimeable number, because it can be changed into a prime (66158369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83671 + ... + 84457.

It is an arithmetic number, because the mean of its divisors is an integer number (2829708).

Almost surely, 266158368 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 66158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912992).

66158368 is an abundant number, since it is smaller than the sum of its proper divisors (69667616).

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

66158368 is a wasteful number, since it uses less digits than its factorization.

66158368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The square root of 66158368 is about 8133.7794413175. The cubic root of 66158368 is about 404.4469777601.

The spelling of 66158368 in words is "sixty-six million, one hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 284 296 568 592 787 1136 1184 1574 2272 2627 3148 5254 6296 10508 12592 21016 25184 29119 42032 55877 58238 84064 111754 116476 223508 232952 447016 465904 894032 931808 1788064 2067449 4134898 8269796 16539592 33079184 66158368