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47518874368 = 287172367819
BaseRepresentation
bin101100010000010110…
…000111101100000000
311112122200010221002221
4230100112013230000
51234304312434433
633455130220424
73301363524220
oct542026075400
9145580127087
1047518874368
11191751906a9
129261b84714
134633a1b554
14242add4080
151381b4672d
hexb10587b00

47518874368 has 144 divisors (see below), whose sum is σ = 119771205120. Its totient is φ = 18333646848.

The previous prime is 47518874357. The next prime is 47518874371. The reversal of 47518874368 is 86347881574.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666763 + ... + 734581.

It is an arithmetic number, because the mean of its divisors is an integer number (831744480).

Almost surely, 247518874368 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 47518874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59885602560).

47518874368 is an abundant number, since it is smaller than the sum of its proper divisors (72252330752).

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

47518874368 is a wasteful number, since it uses less digits than its factorization.

47518874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67882 (or 67868 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 61.

The spelling of 47518874368 in words is "forty-seven billion, five hundred eighteen million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 256 272 322 368 391 448 476 544 644 736 782 896 952 1088 1288 1472 1564 1792 1904 2176 2576 2737 2944 3128 3808 4352 5152 5474 5888 6256 7616 10304 10948 12512 15232 20608 21896 25024 30464 41216 43792 50048 67819 87584 100096 135638 175168 271276 350336 474733 542552 700672 949466 1085104 1152923 1559837 1898932 2170208 2305846 3119674 3797864 4340416 4611692 6239348 7595728 8070461 8680832 9223384 10918859 12478696 15191456 16140922 17361664 18446768 21837718 24957392 26517229 30382912 32281844 36893536 43675436 49914784 53034458 60765824 64563688 73787072 87350872 99829568 106068916 121531648 129127376 147574144 174701744 185620603 199659136 212137832 258254752 295148288 349403488 371241206 399318272 424275664 516509504 698806976 742482412 848551328 1033019008 1397613952 1484964824 1697102656 2066038016 2795227904 2969929648 3394205312 5939859296 6788410624 11879718592 23759437184 47518874368