Search a number
-
+
21552804450 = 232521992291051
BaseRepresentation
bin10100000100101001…
…011011001001100010
32001122001101220111200
4110010221123021202
5323120004220300
613522355222030
71362045546402
oct240451331142
961561356450
1021552804450
11915aaa5a91
124215ba7916
1320562c7938
141086612802
15862246200
hex504a5b262

21552804450 has 144 divisors (see below), whose sum is σ = 58505928000. Its totient is φ = 5688144000.

The previous prime is 21552804431. The next prime is 21552804509. The reversal of 21552804450 is 5440825512.

21552804450 is a `hidden beast` number, since 21 + 552 + 80 + 4 + 4 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20506425 + ... + 20507475.

Almost surely, 221552804450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21552804450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29252964000).

21552804450 is an abundant number, since it is smaller than the sum of its proper divisors (36953123550).

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

21552804450 is a wasteful number, since it uses less digits than its factorization.

21552804450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 21552804450 in words is "twenty-one billion, five hundred fifty-two million, eight hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 229 398 450 458 597 687 995 1051 1145 1194 1374 1791 1990 2061 2102 2290 2985 3153 3435 3582 4122 4975 5255 5725 5970 6306 6870 8955 9459 9950 10305 10510 11450 14925 15765 17175 17910 18918 20610 26275 29850 31530 34350 44775 45571 47295 51525 52550 78825 89550 91142 94590 103050 136713 157650 209149 227855 236475 240679 273426 410139 418298 455710 472950 481358 627447 683565 722037 820278 1045745 1139275 1203395 1254894 1367130 1444074 1882341 2050695 2091490 2166111 2278550 2406790 3137235 3417825 3610185 3764682 4101390 4332222 5228725 6016975 6274470 6835650 7220370 9411705 10253475 10457450 10830555 12033950 15686175 18050925 18823410 20506950 21661110 31372350 36101850 47058525 47895121 54152775 94117050 95790242 108305550 143685363 239475605 287370726 431056089 478951210 718426815 862112178 1197378025 1436853630 2155280445 2394756050 3592134075 4310560890 7184268150 10776402225 21552804450