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20988210420 = 22325592398269
BaseRepresentation
bin10011100010111111…
…101010110011110100
32000011201000120002200
4103202333222303310
5320440440213140
613350350104500
71342051562562
oct234277526364
960151016080
1020988210420
1189a0330151
124098aab130
131c96347828
141031644a32
1582c8be030
hex4e2feacf4

20988210420 has 144 divisors (see below), whose sum is σ = 65022048000. Its totient is φ = 5478310656.

The previous prime is 20988210413. The next prime is 20988210449. The reversal of 20988210420 is 2401288902.

20988210420 is a `hidden beast` number, since 209 + 8 + 8 + 21 + 0 + 420 = 666.

It is a super-3 number, since 3×209882104203 (a number of 32 digits) contains 333 as substring.

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

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, 2534046 + ... + 2542314.

It is an arithmetic number, because the mean of its divisors is an integer number (451542000).

Almost surely, 220988210420 is an apocalyptic number.

20988210420 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 20988210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32511024000).

20988210420 is an abundant number, since it is smaller than the sum of its proper divisors (44033837580).

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

20988210420 is a wasteful number, since it uses less digits than its factorization.

20988210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8577 counting only the distinct ones).

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

The spelling of 20988210420 in words is "twenty billion, nine hundred eighty-eight million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 239 295 354 478 531 590 708 717 885 956 1062 1180 1195 1434 1770 2124 2151 2390 2655 2868 3540 3585 4302 4780 5310 7170 8269 8604 10620 10755 14101 14340 16538 21510 24807 28202 33076 41345 42303 43020 49614 56404 70505 74421 82690 84606 99228 124035 126909 141010 148842 165380 169212 211515 248070 253818 282020 297684 372105 423030 487871 496140 507636 634545 744210 846060 975742 1269090 1463613 1488420 1951484 1976291 2439355 2538180 2927226 3952582 4390839 4878710 5854452 5928873 7318065 7905164 8781678 9757420 9881455 11857746 14636130 17563356 17786619 19762910 21954195 23715492 29272260 29644365 35573238 39525820 43908390 59288730 71146476 87816780 88933095 116601169 118577460 177866190 233202338 349803507 355732380 466404676 583005845 699607014 1049410521 1166011690 1399214028 1749017535 2098821042 2332023380 3498035070 4197642084 5247052605 6996070140 10494105210 20988210420