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8144709732 = 2235311371973
BaseRepresentation
bin1111001010111011…
…00110100001100100
3210000121201010100000
413211131212201210
5113140021202412
63424105221300
7405555614265
oct74535464144
923017633300
108144709732
1134aa526a75
1216b3791830
139ca50c093
145739b696c
1532a0824dc
hex1e5766864

8144709732 has 144 divisors (see below), whose sum is σ = 22211384832. Its totient is φ = 2606826240.

The previous prime is 8144709667. The next prime is 8144709733. The reversal of 8144709732 is 2379074418.

It is not an unprimeable number, because it can be changed into a prime (8144709733) 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 47 ways as a sum of consecutive naturals, for example, 4127098 + ... + 4129070.

It is an arithmetic number, because the mean of its divisors is an integer number (154245728).

Almost surely, 28144709732 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 8144709732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105692416).

8144709732 is an abundant number, since it is smaller than the sum of its proper divisors (14066675100).

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

8144709732 is a wasteful number, since it uses less digits than its factorization.

8144709732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8144709732 is about 90248.0455854862. The cubic root of 8144709732 is about 2011.9871548545.

The spelling of 8144709732 in words is "eight billion, one hundred forty-four million, seven hundred nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 137 162 186 243 274 279 324 372 411 486 548 558 822 837 972 1116 1233 1644 1674 1973 2466 2511 3348 3699 3946 4247 4932 5022 5919 7398 7533 7892 8494 10044 11097 11838 12741 14796 15066 16988 17757 22194 23676 25482 30132 33291 35514 38223 44388 50964 53271 61163 66582 71028 76446 106542 114669 122326 133164 152892 159813 183489 213084 229338 244652 270301 319626 344007 366978 458676 479439 540602 550467 639252 688014 733956 810903 958878 1032021 1081204 1100934 1376028 1621806 1651401 1917756 2064042 2201868 2432709 3243612 3302802 4128084 4865418 4954203 6605604 7298127 8379331 9730836 9908406 14596254 14862609 16758662 19816812 21894381 25137993 29192508 29725218 33517324 43788762 50275986 59450436 65683143 75413979 87577524 100551972 131366286 150827958 226241937 262732572 301655916 452483874 678725811 904967748 1357451622 2036177433 2714903244 4072354866 8144709732