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47307982428 = 223271910499419
BaseRepresentation
bin101100000011110001…
…101000011001011100
311112002222022111202100
4230003301220121130
51233341320414203
633422154125100
73263223134010
oct540361503134
9145088274670
1047307982428
1119077139443
129203420790
1345cc11c715
14240adb8540
15136d389ea3
hexb03c6865c

47307982428 has 144 divisors (see below), whose sum is σ = 144012960000. Its totient is φ = 12791602944.

The previous prime is 47307982427. The next prime is 47307982429. The reversal of 47307982428 is 82428970374.

It is a happy number.

47307982428 is a `hidden beast` number, since 4 + 7 + 307 + 98 + 242 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47307982427) and next prime (47307982429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47307982427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5017903 + ... + 5027321.

It is an arithmetic number, because the mean of its divisors is an integer number (1000090000).

Almost surely, 247307982428 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 47307982428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72006480000).

47307982428 is an abundant number, since it is smaller than the sum of its proper divisors (96704977572).

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

47307982428 is a wasteful number, since it uses less digits than its factorization.

47307982428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47307982428 in words is "forty-seven billion, three hundred seven million, nine hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1049 1197 1596 2098 2394 3147 4196 4788 6294 7343 9419 9441 12588 14686 18838 18882 19931 22029 28257 29372 37676 37764 39862 44058 56514 59793 65933 66087 79724 84771 88116 113028 119586 131866 132174 139517 169542 178961 179379 197799 239172 263732 264348 279034 339084 357922 358758 395598 418551 536883 558068 593397 715844 717516 791196 837102 1073766 1186794 1252727 1255653 1610649 1674204 2147532 2373588 2505454 2511306 3221298 3758181 5010908 5022612 6442596 7516362 9880531 11274543 15032724 19761062 22549086 29641593 39522124 45098172 59283186 69163717 88924779 118566372 138327434 177849558 187730089 207491151 276654868 355699116 375460178 414982302 563190267 622473453 750920356 829964604 1126380534 1244946906 1314110623 1689570801 2252761068 2489893812 2628221246 3379141602 3942331869 5256442492 6758283204 7884663738 11826995607 15769327476 23653991214 47307982428