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47290726282368 = 2732329184637081
BaseRepresentation
bin10101100000010101110101…
…11100001111010010000000
320012102221122000200100102110
422300022322330033102000
522144302401412013433
6244325020523015320
712650433165661632
oct1260127274172200
9205387560610373
1047290726282368
1114082980135368
12537931466a540
13205065b6466ba
14b96c51d4aa52
15570218881963
hex2b02baf0f480

47290726282368 has 128 divisors (see below), whose sum is σ = 135597473020800. Its totient is φ = 14558264483840.

The previous prime is 47290726282367. The next prime is 47290726282369. The reversal of 47290726282368 is 86328262709274.

It is an interprime number because it is at equal distance from previous prime (47290726282367) and next prime (47290726282369).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 47290726282299 and 47290726282308.

It is not an unprimeable number, because it can be changed into a prime (47290726282363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92062413 + ... + 92574668.

It is an arithmetic number, because the mean of its divisors is an integer number (1059355257975).

Almost surely, 247290726282368 is an apocalyptic number.

47290726282368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47290726282368 is an abundant number, since it is smaller than the sum of its proper divisors (88306746738432).

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

47290726282368 is a wasteful number, since it uses less digits than its factorization.

47290726282368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184637150 (or 184637138 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 47290726282368 in words is "forty-seven trillion, two hundred ninety billion, seven hundred twenty-six million, two hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 2944 3712 4002 4416 5336 5568 8004 8832 10672 11136 16008 21344 32016 42688 64032 85376 128064 256128 184637081 369274162 553911243 738548324 1107822486 1477096648 2215644972 2954193296 4246652863 4431289944 5354475349 5908386592 8493305726 8862579888 10708950698 11816773184 12739958589 16063426047 16986611452 17725159776 21417901396 23633546368 25479917178 32126852094 33973222904 35450319552 42835802792 50959834356 64253704188 67946445808 70900639104 85671605584 101919668712 123152933027 128507408376 135892891616 171343211168 203839337424 246305866054 257014816752 271785783232 342686422336 369458799081 407678674848 492611732108 514029633504 543571566464 685372844672 738917598162 815357349696 985223464216 1028059267008 1477835196324 1630714699392 1970446928432 2056118534016 2955670392648 3940893856864 5911340785296 7881787713728 11822681570592 15763575427456 23645363141184 47290726282368