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130706483064 = 233237317918121
BaseRepresentation
bin111100110111010110…
…1101010011101111000
3110111101011022022012020
41321232231222131320
54120141324424224
6140013513314440
712305012526513
oct1715655523570
9414334268166
10130706483064
1150483447333
12213b9405a20
13c430373a51
14647d24dd7a
1535eedb6c79
hex1e6eb6a778

130706483064 has 128 divisors (see below), whose sum is σ = 347594457600. Its totient is φ = 40871761920.

The previous prime is 130706483057. The next prime is 130706483099. The reversal of 130706483064 is 460384607031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7203924 + ... + 7222044.

It is an arithmetic number, because the mean of its divisors is an integer number (2715581700).

Almost surely, 2130706483064 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 130706483064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173797228800).

130706483064 is an abundant number, since it is smaller than the sum of its proper divisors (216887974536).

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

130706483064 is a wasteful number, since it uses less digits than its factorization.

130706483064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405 (or 18401 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 130706483064 in words is "one hundred thirty billion, seven hundred six million, four hundred eighty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 73 92 138 146 179 184 219 276 292 358 438 537 552 584 716 876 1074 1432 1679 1752 2148 3358 4117 4296 5037 6716 8234 10074 12351 13067 13432 16468 18121 20148 24702 26134 32936 36242 39201 40296 49404 52268 54363 72484 78402 98808 104536 108726 144968 156804 217452 300541 313608 416783 434904 601082 833566 901623 1202164 1250349 1322833 1667132 1803246 2404328 2500698 2645666 3243659 3334264 3606492 3968499 5001396 5291332 6487318 7212984 7936998 9730977 10002792 10582664 12974636 15873996 19461954 25949272 30425159 31747992 38923908 60850318 74604157 77847816 91275477 121700636 149208314 182550954 223812471 236787107 243401272 298416628 365101908 447624942 473574214 596833256 710361321 730203816 895249884 947148428 1420722642 1790499768 1894296856 2841445284 5446103461 5682890568 10892206922 16338310383 21784413844 32676620766 43568827688 65353241532 130706483064