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66050016 = 2534197173
BaseRepresentation
bin1111101111110…
…1011111100000
311121021200120220
43323331133200
5113402100031
610315403040
71431262434
oct373753740
9147250526
1066050016
113431339a
121a153480
13108b7966
148ab49c4
155bea596
hex3efd7e0

66050016 has 96 divisors (see below), whose sum is σ = 180478368. Its totient is φ = 21135360.

The previous prime is 66049999. The next prime is 66050027. The reversal of 66050016 is 61005066.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×660500162 = 8725209227200512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381706 + ... + 381878.

It is an arithmetic number, because the mean of its divisors is an integer number (1879983).

Almost surely, 266050016 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 66050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90239184).

66050016 is an abundant number, since it is smaller than the sum of its proper divisors (114428352).

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

66050016 is a wasteful number, since it uses less digits than its factorization.

66050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66050016 is about 8127.1160936706. The cubic root of 66050016 is about 404.2260604581.

The spelling of 66050016 in words is "sixty-six million, fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 97 123 164 173 194 246 291 328 346 388 492 519 582 656 692 776 984 1038 1164 1312 1384 1552 1968 2076 2328 2768 3104 3936 3977 4152 4656 5536 7093 7954 8304 9312 11931 14186 15908 16608 16781 21279 23862 28372 31816 33562 42558 47724 50343 56744 63632 67124 85116 95448 100686 113488 127264 134248 170232 190896 201372 226976 268496 340464 381792 402744 536992 680928 688021 805488 1376042 1610976 2064063 2752084 4128126 5504168 8256252 11008336 16512504 22016672 33025008 66050016