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47470556928 = 283314574363
BaseRepresentation
bin101100001101011101…
…110011011100000000
311112112022020011001010
4230031131303130000
51234204430310203
633450242440520
73300236035104
oct541535633400
9145468204033
1047470556928
111914a98a033
129249963140
134626a01c52
142424817904
15137c7a0303
hexb0d773700

47470556928 has 144 divisors (see below), whose sum is σ = 130731754496. Its totient is φ = 15276072960.

The previous prime is 47470556797. The next prime is 47470556929. The reversal of 47470556928 is 82965507474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47470556929) 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 15 ways as a sum of consecutive naturals, for example, 10878075 + ... + 10882437.

Almost surely, 247470556928 is an apocalyptic number.

47470556928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47470556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65365877248).

47470556928 is an abundant number, since it is smaller than the sum of its proper divisors (83261197568).

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

47470556928 is a wasteful number, since it uses less digits than its factorization.

47470556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 47470556928 in words is "forty-seven billion, four hundred seventy million, five hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 457 496 744 768 914 992 1371 1488 1828 1984 2742 2976 3656 3968 4363 5484 5952 7312 7936 8726 10968 11904 13089 14167 14624 17452 21936 23808 26178 28334 29248 34904 42501 43872 52356 56668 58496 69808 85002 87744 104712 113336 116992 135253 139616 170004 175488 209424 226672 270506 279232 340008 350976 405759 418848 453344 541012 558464 680016 811518 837696 906688 1082024 1116928 1360032 1623036 1675392 1813376 1993891 2164048 2720064 3246072 3350784 3626752 3987782 4328096 5440128 5981673 6492144 7975564 8656192 10880256 11963346 12984288 15951128 17312384 23926692 25968576 31902256 34624768 47853384 51937152 61810621 63804512 95706768 103874304 123621242 127609024 185431863 191413536 247242484 255218048 370863726 382827072 494484968 510436096 741727452 765654144 988969936 1483454904 1531308288 1977939872 2966909808 3955879744 5933819616 7911759488 11867639232 15823518976 23735278464 47470556928