Search a number
-
+
21024636132420 = 22325809827174583
BaseRepresentation
bin1001100011111001011011…
…11101111101110001000100
32202102221021001010010110200
410301330231331331301010
510223431423322214140
6112414330130250500
74266660040316604
oct461745575756104
982387231103420
1021024636132420
116776552a92948
122436870126a30
13b967cb5b580b
145298525b0c04
15266d74397030
hex131f2df7dc44

21024636132420 has 144 divisors (see below), whose sum is σ = 63931138427520. Its totient is φ = 5592836325888.

The previous prime is 21024636132413. The next prime is 21024636132431. The reversal of 21024636132420 is 2423163642012.

21024636132420 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 4 + 636 + 13 + 2 + 4 + 2 + 0 = 666.

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

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, 120340449 + ... + 120515031.

It is an arithmetic number, because the mean of its divisors is an integer number (443966239080).

Almost surely, 221024636132420 is an apocalyptic number.

21024636132420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21024636132420 is an abundant number, since it is smaller than the sum of its proper divisors (42906502295100).

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

21024636132420 is a wasteful number, since it uses less digits than its factorization.

21024636132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176234 (or 176229 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 21024636132420 its reverse (2423163642012), we get a palindrome (23447799774432).

The spelling of 21024636132420 in words is "twenty-one trillion, twenty-four billion, six hundred thirty-six million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 809 827 1618 1654 2427 2481 3236 3308 4045 4135 4854 4962 7281 7443 8090 8270 9708 9924 12135 12405 14562 14886 16180 16540 24270 24810 29124 29772 36405 37215 48540 49620 72810 74430 145620 148860 174583 349166 523749 669043 698332 872915 1047498 1338086 1571247 1745830 2007129 2094996 2618745 2676172 3142494 3345215 3491660 4014258 5237490 6021387 6284988 6690430 7856235 8028516 10035645 10474980 12042774 13380860 15712470 20071290 24085548 30106935 31424940 40142580 60213870 120427740 141237647 144380141 282475294 288760282 423712941 433140423 564950588 577520564 706188235 721900705 847425882 866280846 1271138823 1299421269 1412376470 1443801410 1694851764 1732561692 2118564705 2165702115 2542277646 2598842538 2824752940 2887602820 4237129410 4331404230 5084555292 5197685076 6355694115 6497106345 8474258820 8662808460 12711388230 12994212690 25422776460 25988425380 116803534069 233607068138 350410602207 467214136276 584017670345 700821204414 1051231806621 1168035340690 1401642408828 1752053011035 2102463613242 2336070681380 3504106022070 4204927226484 5256159033105 7008212044140 10512318066210 21024636132420