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20455043132420 = 225132173179195427
BaseRepresentation
bin1001010011010100011111…
…00101000110110000000100
32200102111001010101201101122
410221222033211012300010
510140113412020214140
6111300530031413112
74210554015565421
oct451521745066004
980374033351348
1020455043132420
116576a3164a516
1223643a8684198
13b54b96442c00
1450a05a83cd48
15257138c4aab5
hex129a8f946c04

20455043132420 has 144 divisors (see below), whose sum is σ = 47044506922560. Its totient is φ = 7466986695168.

The previous prime is 20455043132417. The next prime is 20455043132521. The reversal of 20455043132420 is 2423134055402.

It is a happy number.

It is an unprimeable number.

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, 104570747 + ... + 104766173.

It is an arithmetic number, because the mean of its divisors is an integer number (326697964740).

Almost surely, 220455043132420 is an apocalyptic number.

20455043132420 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 20455043132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522253461280).

20455043132420 is an abundant number, since it is smaller than the sum of its proper divisors (26589463790140).

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

20455043132420 is a wasteful number, since it uses less digits than its factorization.

20455043132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195814 (or 195799 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 20455043132420 its reverse (2423134055402), we get a palindrome (22878177187822).

The spelling of 20455043132420 in words is "twenty trillion, four hundred fifty-five billion, forty-three million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 173 179 260 338 346 358 676 692 716 845 865 895 1690 1730 1790 2249 2327 3380 3460 3580 4498 4654 8996 9308 11245 11635 22490 23270 29237 30251 30967 44980 46540 58474 60502 61934 116948 121004 123868 146185 151255 154835 195427 292370 302510 309670 390854 402571 584740 605020 619340 781708 805142 977135 1610284 1954270 2012855 2540551 3908540 4025710 5081102 5233423 8051420 10162204 10466846 12702755 20933692 25405510 26167115 33027163 33808871 34981433 50811020 52334230 66054326 67617742 69962866 104668460 132108652 135235484 139925732 165135815 169044355 174907165 330271630 338088710 349814330 439515323 454758629 660543260 676177420 699628660 879030646 909517258 1758061292 1819034516 2197576615 2273793145 4395153230 4547586290 5713699199 5911862177 6051787909 8790306460 9095172580 11427398398 11823724354 12103575818 22854796796 23647448708 24207151636 28568495995 29559310885 30258939545 57136991990 59118621770 60517879090 78673242817 114273983980 118237243540 121035758180 157346485634 314692971268 393366214085 786732428170 1022752156621 1573464856340 2045504313242 4091008626484 5113760783105 10227521566210 20455043132420