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20013721540040 = 235500343038501
BaseRepresentation
bin1001000110011110011101…
…10000110101010111001000
32121212021220122221221222102
410203033032300311113020
510110401100203240130
6110322102102212532
74133641451132534
oct443171660652710
977767818857872
1020013721540040
116416854064178
1222b2962a24148
13b22393cc71b7
144d295276abc4
1524a909812645
hex1233cec355c8

20013721540040 has 16 divisors (see below), whose sum is σ = 45030873465180. Its totient is φ = 8005488616000.

The previous prime is 20013721540039. The next prime is 20013721540063. The reversal of 20013721540040 is 4004512731002.

It can be written as a sum of positive squares in 2 ways, for example, as 19784757376036 + 228964164004 = 4448006^2 + 478502^2 .

It is a super-2 number, since 2×200137215400402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20013721539985 and 20013721540012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250171519211 + ... + 250171519290.

Almost surely, 220013721540040 is an apocalyptic number.

20013721540040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013721540040 is an abundant number, since it is smaller than the sum of its proper divisors (25017151925140).

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

20013721540040 is a wasteful number, since it uses less digits than its factorization.

20013721540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500343038512 (or 500343038508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 20013721540040 in words is "twenty trillion, thirteen billion, seven hundred twenty-one million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 500343038501 1000686077002 2001372154004 2501715192505 4002744308008 5003430385010 10006860770020 20013721540040