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21018064860 = 223251319472741
BaseRepresentation
bin10011100100110001…
…100011011111011100
32000020210012022200200
4103210301203133130
5321021111033420
613353334023500
71342563414012
oct234461433734
960223168620
1021018064860
118a06171241
1240a6aa7b90
131c9c59b490
1410355b68b2
15830319b90
hex4e4c637dc

21018064860 has 144 divisors (see below), whose sum is σ = 72272796960. Its totient is φ = 4901368320.

The previous prime is 21018064849. The next prime is 21018064867. The reversal of 21018064860 is 6846081012.

21018064860 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 8 + 0 + 648 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21018064867) 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 47 ways as a sum of consecutive naturals, for example, 191911 + ... + 280830.

Almost surely, 221018064860 is an apocalyptic number.

21018064860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21018064860 is an abundant number, since it is smaller than the sum of its proper divisors (51254732100).

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

21018064860 is a wasteful number, since it uses less digits than its factorization.

21018064860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472788 (or 472783 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21018064860 in words is "twenty-one billion, eighteen million, sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 472741 945482 1418223 1890964 2363705 2836446 4254669 4727410 5672892 6145633 7091115 8509338 8982079 9454820 12291266 14182230 17018676 17964158 18436899 21273345 24582532 26946237 28364460 30728165 35928316 36873798 42546690 44910395 53892474 55310697 61456330 73747596 80838711 85093380 89820790 92184495 107784948 110621394 116767027 122912660 134731185 161677422 179641580 184368990 221242788 233534054 269462370 276553485 323354844 350301081 368737980 404193555 467068108 538924740 553106970 583835135 700602162 808387110 1050903243 1106213940 1167670270 1401204324 1616774220 1751505405 2101806486 2335340540 3503010810 4203612972 5254516215 7006021620 10509032430 21018064860