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471027446344 = 2371329124917863
BaseRepresentation
bin1101101101010110110…
…11000111001001001000
31200000210201020111021201
412312223123013021020
530204131011240334
61000215332513544
746013333143030
oct6665333071110
91600721214251
10471027446344
11171841794084
127735617b8b4
13355578b26c0
1418b2542c8c0
15c3bc30cc14
hex6dab6c7248

471027446344 has 128 divisors (see below), whose sum is σ = 1125432000000. Its totient is φ = 179760881664.

The previous prime is 471027446333. The next prime is 471027446401. The reversal of 471027446344 is 443644720174.

It is a junction number, because it is equal to n+sod(n) for n = 471027446294 and 471027446303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26359957 + ... + 26377819.

It is an arithmetic number, because the mean of its divisors is an integer number (8792437500).

Almost surely, 2471027446344 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 471027446344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562716000000).

471027446344 is an abundant number, since it is smaller than the sum of its proper divisors (654404553656).

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

471027446344 is a wasteful number, since it uses less digits than its factorization.

471027446344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19167 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 46.

The spelling of 471027446344 in words is "four hundred seventy-one billion, twenty-seven million, four hundred forty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1249 1508 1624 2498 2639 3016 4996 5278 8743 9992 10556 16237 17486 17863 21112 32474 34972 35726 36221 64948 69944 71452 72442 113659 125041 129896 142904 144884 227318 232219 250082 253547 289768 454636 464438 470873 500164 507094 518027 909272 928876 941746 1000328 1014188 1036054 1625533 1857752 1883492 2028376 2072108 3251066 3296111 3626189 3766984 4144216 6502132 6592222 6734351 7252378 13004264 13184444 13468702 14504756 22310887 26368888 26937404 29009512 44621774 47140457 53874808 89243548 94280914 156176209 178487096 188561828 290041531 312352418 377123656 580083062 624704836 647015723 1160166124 1249409672 1294031446 2030290717 2320332248 2588062892 4060581434 4529110061 5176125784 8121162868 8411204399 9058220122 16242325736 16822408798 18116440244 33644817596 36232880488 58878430793 67289635192 117756861586 235513723172 471027446344