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47128437928 = 231113227347523
BaseRepresentation
bin101011111001000100…
…101110010010101000
311111122110110201000001
4223321010232102220
51233004340003203
633352301552344
73255613053445
oct537104562250
9144573421001
1047128437928
1118a94857a60
1291732756b4
1345a0b77c80
1423d11dc9cc
15135c72191d
hexaf912e4a8

47128437928 has 128 divisors (see below), whose sum is σ = 104772165120. Its totient is φ = 19592789760.

The previous prime is 47128437899. The next prime is 47128437929. The reversal of 47128437928 is 82973482174.

It is not an unprimeable number, because it can be changed into a prime (47128437929) 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 31 ways as a sum of consecutive naturals, for example, 90111475 + ... + 90111997.

It is an arithmetic number, because the mean of its divisors is an integer number (818532540).

Almost surely, 247128437928 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 47128437928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52386082560).

47128437928 is an abundant number, since it is smaller than the sum of its proper divisors (57643727192).

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

47128437928 is a wasteful number, since it uses less digits than its factorization.

47128437928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The spelling of 47128437928 in words is "forty-seven billion, one hundred twenty-eight million, four hundred thirty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 227 286 347 454 523 572 694 908 1046 1144 1388 1816 2092 2497 2776 2951 3817 4184 4511 4994 5753 5902 6799 7634 9022 9988 11506 11804 13598 15268 18044 19976 23012 23608 27196 30536 32461 36088 46024 49621 54392 64922 74789 78769 99242 118721 129844 149578 157538 181481 198484 237442 259688 299156 315076 362962 396968 474884 598312 630152 725924 866459 949768 1023997 1305931 1451848 1543373 1732918 1996291 2047994 2359253 2611862 3086746 3465836 3992582 4095988 4718506 5223724 6173492 6931672 7985164 8191976 9437012 10447448 11263967 12346984 15970328 16977103 18874024 22527934 25951783 33954206 41196187 45055868 51903566 67908412 82392374 90111736 103807132 135816824 164784748 207614264 329569496 453158057 535550431 906316114 1071100862 1812632228 2142201724 3625264456 4284403448 5891054741 11782109482 23564218964 47128437928