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4072766064 = 243426119913
BaseRepresentation
bin1111001011000001…
…0111101001110000
3101111211121221201120
43302300113221300
531320112003224
61512045302240
7202632640353
oct36260275160
911454557646
104072766064
1117aaa74474
12957b64980
134cba1b263
142a8c9629a
1518c84a779
hexf2c17a70

4072766064 has 40 divisors (see below), whose sum is σ = 10524310032. Its totient is φ = 1357201920.

The previous prime is 4072766029. The next prime is 4072766069. The reversal of 4072766064 is 4606672704.

4072766064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072766069) 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, 194572 + ... + 214484.

Almost surely, 24072766064 is an apocalyptic number.

It is an amenable number.

4072766064 is an abundant number, since it is smaller than the sum of its proper divisors (6451543968).

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

4072766064 is a wasteful number, since it uses less digits than its factorization.

4072766064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24185 (or 24179 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 4072766064 is about 63818.2267381349. The cubic root of 4072766064 is about 1596.9690097286.

The spelling of 4072766064 in words is "four billion, seventy-two million, seven hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4261 8522 12783 17044 19913 25566 34088 39826 51132 59739 68176 79652 102264 119478 159304 204528 238956 318608 477912 955824 84849293 169698586 254547879 339397172 509095758 678794344 1018191516 1357588688 2036383032 4072766064