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332161828020 = 2232511179868147
BaseRepresentation
bin1001101010101100110…
…00110100010010110100
31011202100221002011122200
410311112120310102310
520420231411444040
6412332032424500
732666164644651
oct4652630642264
91152327064580
10332161828020
11118961768760
12544603a8130
132542704b889
141211072cc28
158990eb4630
hex4d566344b4

332161828020 has 144 divisors (see below), whose sum is σ = 1163809902528. Its totient is φ = 75787361280.

The previous prime is 332161827947. The next prime is 332161828043. The reversal of 332161828020 is 20828161233.

332161828020 is a `hidden beast` number, since 3 + 32 + 1 + 618 + 2 + 8 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×3321618280202 (a number of 24 digits) contains 22 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, 4900414 + ... + 4967733.

It is an arithmetic number, because the mean of its divisors is an integer number (8082013212).

Almost surely, 2332161828020 is an apocalyptic number.

332161828020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332161828020 is an abundant number, since it is smaller than the sum of its proper divisors (831648074508).

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

332161828020 is a wasteful number, since it uses less digits than its factorization.

332161828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868190 (or 9868185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 332161828020 its reverse (20828161233), we get a palindrome (352989989253).

The spelling of 332161828020 in words is "three hundred thirty-two billion, one hundred sixty-one million, eight hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 9868147 19736294 29604441 39472588 49340735 59208882 88813323 98681470 108549617 118417764 148022205 167758499 177626646 197362940 217099234 296044410 325648851 335516998 355253292 434198468 444066615 503275497 542748085 592088820 651297702 671033996 838792495 888133230 976946553 1006550994 1085496170 1302595404 1509826491 1628244255 1677584990 1776266460 1845343489 1953893106 2013101988 2170992340 2516377485 3019652982 3256488510 3355169980 3690686978 3907786212 4884732765 5032754970 5536030467 6039305964 6512977020 7381373956 7549132455 9226717445 9769465530 10065509940 11072060934 15098264910 16608091401 18453434890 19538931060 22144121868 27680152335 30196529820 33216182802 36906869780 55360304670 66432365604 83040457005 110720609340 166080914010 332161828020