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47871295056 = 2433138524091
BaseRepresentation
bin101100100101010110…
…011111111001010000
311120120020021202102000
4230211112133321100
51241020022420211
633554115554000
73313203202614
oct544526377120
9146506252360
1047871295056
1119336109572
12933bbbb900
13468ba414c0
142461b31344
1513a2a5c656
hexb2559fe50

47871295056 has 80 divisors (see below), whose sum is σ = 147978237120. Its totient is φ = 14729627520.

The previous prime is 47871295051. The next prime is 47871295057. The reversal of 47871295056 is 65059217874.

47871295056 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 129 + 505 + 6 = 666.

It is a super-2 number, since 2×478712950562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47871294993 and 47871295011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47871295051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4256430 + ... + 4267661.

It is an arithmetic number, because the mean of its divisors is an integer number (1849727964).

Almost surely, 247871295056 is an apocalyptic number.

It is an amenable number.

47871295056 is an abundant number, since it is smaller than the sum of its proper divisors (100106942064).

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

47871295056 is a wasteful number, since it uses less digits than its factorization.

47871295056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524121 (or 8524109 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 47871295056 in words is "forty-seven billion, eight hundred seventy-one million, two hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 8524091 17048182 25572273 34096364 51144546 68192728 76716819 102289092 110813183 136385456 153433638 204578184 221626366 230150457 306867276 332439549 409156368 443252732 460300914 613734552 664879098 886505464 920601828 997318647 1227469104 1329758196 1773010928 1841203656 1994637294 2659516392 2991955941 3682407312 3989274588 5319032784 5983911882 7978549176 11967823764 15957098352 23935647528 47871295056