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54421660890 = 23351721535507
BaseRepresentation
bin110010101011110010…
…001010010011011010
312012110201221211002000
4302223302022103122
51342423421122030
641000113021430
73634422325242
oct625362122332
9165421854060
1054421660890
1121097677353
12a669854876
135193b4810c
1428c3a86b22
151637b5b860
hexcabc8a4da

54421660890 has 128 divisors (see below), whose sum is σ = 153760446720. Its totient is φ = 13649946624.

The previous prime is 54421660889. The next prime is 54421660939. The reversal of 54421660890 is 9806612445.

54421660890 is a `hidden beast` number, since 544 + 2 + 16 + 6 + 0 + 8 + 90 = 666.

54421660890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9879517 + ... + 9885023.

It is an arithmetic number, because the mean of its divisors is an integer number (1201253490).

Almost surely, 254421660890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54421660890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76880223360).

54421660890 is an abundant number, since it is smaller than the sum of its proper divisors (99338785830).

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

54421660890 is a wasteful number, since it uses less digits than its factorization.

54421660890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54421660890 in words is "fifty-four billion, four hundred twenty-one million, six hundred sixty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2153 2295 4306 4590 5507 6459 10765 11014 12918 16521 19377 21530 27535 32295 33042 36601 38754 49563 55070 58131 64590 73202 82605 93619 96885 99126 109803 116262 148689 165210 183005 187238 193770 219606 247815 280857 290655 297378 329409 366010 468095 495630 549015 561714 581310 658818 743445 842571 936190 988227 1098030 1404285 1486890 1647045 1685142 1976454 2527713 2808570 3294090 4212855 4941135 5055426 8425710 9882270 11856571 12638565 23713142 25277130 35569713 59282855 71139426 106709139 118565710 177848565 201561707 213418278 320127417 355697130 403123414 533545695 604685121 640254834 1007808535 1067091390 1209370242 1600637085 1814055363 2015617070 3023425605 3201274170 3628110726 5442166089 6046851210 9070276815 10884332178 18140553630 27210830445 54421660890