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20940801036544 = 28192150532
BaseRepresentation
bin1001100001011101010010…
…00000011101000100000000
32202010220212102120222221201
410300232221000131010000
510221043230031132134
6112312023213230544
74260631366624504
oct460565100350400
982126772528851
1020940801036544
116743a42294544
122422573a92454
13b8b92aa78ccc
1452577c36a304
15264ab9378914
hex130ba901d100

20940801036544 has 81 divisors (see below), whose sum is σ = 44118511455333. Its totient is φ = 9918667846656.

The previous prime is 20940801036517. The next prime is 20940801036553. The reversal of 20940801036544 is 44563010804902.

The square root of 20940801036544 is 4576112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20010949689600 + 929851346944 = 4473360^2 + 964288^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20940801036494 and 20940801036503.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1391130522 + ... + 1391145574.

Almost surely, 220940801036544 is an apocalyptic number.

20940801036544 is the 4576112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20940801036544

20940801036544 is an abundant number, since it is smaller than the sum of its proper divisors (23177710418789).

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

20940801036544 is an frugal number, since it uses more digits than its factorization.

20940801036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30160 (or 15074 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 20940801036544 in words is "twenty trillion, nine hundred forty billion, eight hundred one million, thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 2432 2888 4864 5776 11552 15053 23104 30106 46208 60212 92416 120424 240848 286007 481696 572014 963392 1144028 1926784 2288056 3853568 4576112 5434133 9152224 10868266 18304448 21736532 36608896 43473064 73217792 86946128 173892256 226592809 347784512 453185618 695569024 906371236 1391138048 1812742472 3625484944 4305263371 7250969888 8610526742 14501939776 17221053484 29003879552 34442106968 58007759104 68884213936 81800004049 137768427872 163600008098 275536855744 327200016196 551073711488 654400032392 1102147422976 1308800064784 2617600129568 5235200259136 10470400518272 20940801036544