Search a number
-
+
20361135511440 = 2432583974497823
BaseRepresentation
bin1001010000100101100100…
…01111111101011110010000
32200002111122112122022000100
410220102302033331132100
510132044101142331230
6111145435421252400
74201020630150033
oct450226217753620
980074575568010
1020361135511440
1165401222009a9
12234a15b104100
13b4907bba4c89
145056ac99701a
1525498e7e5660
hex1284b23fd790

20361135511440 has 480 divisors, whose sum is σ = 70081439500800. Its totient is φ = 5296416620544.

The previous prime is 20361135511439. The next prime is 20361135511447. The reversal of 20361135511440 is 4411553116302.

20361135511440 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 1 + 135 + 511 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20361135511395 and 20361135511404.

It is not an unprimeable number, because it can be changed into a prime (20361135511447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2602723369 + ... + 2602731191.

It is an arithmetic number, because the mean of its divisors is an integer number (146002998960).

Almost surely, 220361135511440 is an apocalyptic number.

20361135511440 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 20361135511440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35040719750400).

20361135511440 is an abundant number, since it is smaller than the sum of its proper divisors (49720303989360).

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

20361135511440 is a wasteful number, since it uses less digits than its factorization.

20361135511440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 20361135511440 its reverse (4411553116302), we get a palindrome (24772688627742).

The spelling of 20361135511440 in words is "twenty trillion, three hundred sixty-one billion, one hundred thirty-five million, five hundred eleven thousand, four hundred forty".