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21111543540 = 2235529149791
BaseRepresentation
bin10011101010010110…
…001001011011110100
32000111022002112100000
4103222112021123310
5321214023343130
613410513351300
71345110105423
oct235226113364
960438075300
1021111543540
118a53a0914a
124112268530
131cb5a6a8c9
141043b8b2ba
15838632260
hex4ea5896f4

21111543540 has 144 divisors (see below), whose sum is σ = 68700602880. Its totient is φ = 5435579520.

The previous prime is 21111543529. The next prime is 21111543559. The reversal of 21111543540 is 4534511112.

21111543540 is a `hidden beast` number, since 2 + 1 + 1 + 115 + 4 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66045 + ... + 215835.

It is an arithmetic number, because the mean of its divisors is an integer number (477087520).

Almost surely, 221111543540 is an apocalyptic number.

21111543540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34350301440).

21111543540 is an abundant number, since it is smaller than the sum of its proper divisors (47589059340).

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

21111543540 is a wasteful number, since it uses less digits than its factorization.

21111543540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149844 (or 149830 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 21111543540 in words is "twenty-one billion, one hundred eleven million, five hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 23490 28188 35235 46980 70470 140940 149791 299582 449373 599164 748955 898746 1348119 1497910 1797492 2246865 2696238 2995820 4044357 4343939 4493730 5392476 6740595 8088714 8687878 8987460 12133071 13031817 13481190 16177428 17375756 20221785 21719695 24266142 26063634 26962380 36399213 39095451 40443570 43439390 48532284 52127268 60665355 65159085 72798426 78190902 80887140 86878780 117286353 121330710 130318170 145596852 156381804 181996065 195477255 234572706 242661420 260636340 351859059 363992130 390954510 469145412 586431765 703718118 727984260 781909020 1055577177 1172863530 1407436236 1759295295 2111154354 2345727060 3518590590 4222308708 5277885885 7037181180 10555771770 21111543540