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47380910064 = 24323891273797
BaseRepresentation
bin101100001000000111…
…110100111111110000
311112022001112121122220
4230020013310333300
51234014003110224
633433321201040
73265100043015
oct541007647760
9145261477586
1047380910064
111910431a014
129223930180
134611274977
14241695d70c
151374993279
hexb081f4ff0

47380910064 has 160 divisors (see below), whose sum is σ = 130208808960. Its totient is φ = 14815696896.

The previous prime is 47380910063. The next prime is 47380910119. The reversal of 47380910064 is 46001908374.

47380910064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47380909998 and 47380910025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47380910063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12476614 + ... + 12480410.

It is an arithmetic number, because the mean of its divisors is an integer number (813805056).

Almost surely, 247380910064 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 47380910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65104404480).

47380910064 is an abundant number, since it is smaller than the sum of its proper divisors (82827898896).

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

47380910064 is a wasteful number, since it uses less digits than its factorization.

47380910064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 47380910064 in words is "forty-seven billion, three hundred eighty million, nine hundred ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 127 138 178 184 254 267 276 356 368 381 508 534 552 712 762 1016 1068 1104 1424 1524 2032 2047 2136 2921 3048 3797 4094 4272 5842 6096 6141 7594 8188 8763 11303 11391 11684 12282 15188 16376 17526 22606 22782 23368 24564 30376 32752 33909 35052 45212 45564 46736 49128 60752 67818 70104 87331 90424 91128 98256 135636 140208 174662 180848 182256 259969 261993 271272 337933 349324 482219 519938 523986 542544 675866 698648 779907 964438 1013799 1039876 1047972 1351732 1397296 1446657 1559814 1928876 2027598 2079752 2095944 2703464 2893314 3119628 3857752 4055196 4159504 4191888 5406928 5786628 6239256 7715504 7772459 8110392 11091037 11573256 12478512 15544918 16220784 22182074 23146512 23317377 31089836 33273111 42917491 44364148 46634754 62179672 66546222 85834982 88728296 93269508 124359344 128752473 133092444 171669964 177456592 186539016 257504946 266184888 343339928 373078032 515009892 532369776 686679856 987102293 1030019784 1974204586 2060039568 2961306879 3948409172 5922613758 7896818344 11845227516 15793636688 23690455032 47380910064