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47421855288 = 23327330729389
BaseRepresentation
bin101100001010100100…
…000001011000111000
311112101220120211221200
4230022210001120320
51234104443332123
633441342534200
73266105055603
oct541244013070
9145356524850
1047421855288
1119125445845
129235597360
1346198ac802
14241c17b33a
151378380143
hexb0a901638

47421855288 has 96 divisors (see below), whose sum is σ = 130622091600. Its totient is φ = 15539433984.

The previous prime is 47421855253. The next prime is 47421855289. The reversal of 47421855288 is 88255812474.

47421855288 is a `hidden beast` number, since 4 + 7 + 4 + 2 + 1 + 8 + 552 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47421855289) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1598898 + ... + 1628286.

Almost surely, 247421855288 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 47421855288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65311045800).

47421855288 is an abundant number, since it is smaller than the sum of its proper divisors (83200236312).

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

47421855288 is a wasteful number, since it uses less digits than its factorization.

47421855288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29781 (or 29774 counting only the distinct ones).

The product of its digits is 5734400, while the sum is 54.

The spelling of 47421855288 in words is "forty-seven billion, four hundred twenty-one million, eight hundred fifty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 307 438 584 614 657 876 921 1228 1314 1752 1842 2456 2628 2763 3684 5256 5526 7368 11052 22104 22411 29389 44822 58778 67233 88167 89644 117556 134466 176334 179288 201699 235112 264501 268932 352668 403398 529002 537864 705336 806796 1058004 1613592 2116008 2145397 4290794 6436191 8581588 9022423 12872382 17163176 18044846 19308573 25744764 27067269 36089692 38617146 51489528 54134538 72179384 77234292 81201807 108269076 154468584 162403614 216538152 324807228 649614456 658636879 1317273758 1975910637 2634547516 3951821274 5269095032 5927731911 7903642548 11855463822 15807285096 23710927644 47421855288