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47135923856 = 2473779143981
BaseRepresentation
bin101011111001100001…
…010001111010010000
311111122222120000202122
4223321201101322100
51233013244030411
633353130233412
73256033512350
oct537141217220
9144588500678
1047135923856
1118a9900027a
129175885868
1345a2599408
1423d21cab60
15135d1ee9db
hexaf9851e90

47135923856 has 80 divisors (see below), whose sum is σ = 108550909440. Its totient is φ = 19406200320.

The previous prime is 47135923841. The next prime is 47135923883. The reversal of 47135923856 is 65832953174.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47135923798 and 47135923807.

It is an unprimeable number.

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, 255386 + ... + 399366.

It is an arithmetic number, because the mean of its divisors is an integer number (1356886368).

Almost surely, 247135923856 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 47135923856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54275454720).

47135923856 is an abundant number, since it is smaller than the sum of its proper divisors (61414985584).

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

47135923856 is a wasteful number, since it uses less digits than its factorization.

47135923856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144112 (or 144106 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The spelling of 47135923856 in words is "forty-seven billion, one hundred thirty-five million, nine hundred twenty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 79 112 148 158 259 296 316 518 553 592 632 1036 1106 1264 2072 2212 2923 4144 4424 5846 8848 11692 20461 23384 40922 46768 81844 143981 163688 287962 327376 575924 1007867 1151848 2015734 2303696 4031468 5327297 8062936 10654594 11374499 16125872 21309188 22748998 37291079 42618376 45497996 74582158 79621493 85236752 90995992 149164316 159242986 181991984 298328632 318485972 420856463 596657264 636971944 841712926 1273943888 1683425852 2945995241 3366851704 5891990482 6733703408 11783980964 23567961928 47135923856