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4065132192 = 2531135910723
BaseRepresentation
bin1111001001001100…
…1111111010100000
3101111022021010000120
43302103033322200
531311133212232
61511213520240
7202511024232
oct36223177240
911438233016
104065132192
1117a672aa90
129554a3080
134ca277684
142a7c6a252
1518bd3d92c
hexf24cfea0

4065132192 has 96 divisors (see below), whose sum is σ = 11674575360. Its totient is φ = 1228312320.

The previous prime is 4065132179. The next prime is 4065132199. The reversal of 4065132192 is 2912315604.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4065132199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373743 + ... + 384465.

It is an arithmetic number, because the mean of its divisors is an integer number (121610160).

Almost surely, 24065132192 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 4065132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837287680).

4065132192 is an abundant number, since it is smaller than the sum of its proper divisors (7609443168).

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

4065132192 is a wasteful number, since it uses less digits than its factorization.

4065132192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4065132192 is about 63758.3891891883. The cubic root of 4065132192 is about 1595.9706152214.

Adding to 4065132192 its reverse (2912315604), we get a palindrome (6977447796).

The spelling of 4065132192 in words is "four billion, sixty-five million, one hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 359 528 718 1056 1077 1436 2154 2872 3949 4308 5744 7898 8616 10723 11488 11847 15796 17232 21446 23694 31592 32169 34464 42892 47388 63184 64338 85784 94776 117953 126368 128676 171568 189552 235906 257352 343136 353859 379104 471812 514704 707718 943624 1029408 1415436 1887248 2830872 3774496 3849557 5661744 7699114 11323488 11548671 15398228 23097342 30796456 42345127 46194684 61592912 84690254 92389368 123185824 127035381 169380508 184778736 254070762 338761016 369557472 508141524 677522032 1016283048 1355044064 2032566096 4065132192