Search a number
-
+
20823533033040 = 24325475311610427
BaseRepresentation
bin1001011110000010110110…
…10010100001011001010000
32201201201011211011012002200
410233001123102201121100
510212133043424024130
6112142110553043200
74246310363220453
oct457013322413120
981651154135080
1020823533033040
1166a923558a871
1224038a70b6500
13b8085c89c01a
1451dc15bc549a
15261a04178760
hex12f05b4a1650

20823533033040 has 240 divisors, whose sum is σ = 72767846631168. Its totient is φ = 5332250686464.

The previous prime is 20823533033021. The next prime is 20823533033041. The reversal of 20823533033040 is 4033033532802.

20823533033040 is a `hidden beast` number, since 2 + 0 + 82 + 3 + 533 + 0 + 3 + 3 + 0 + 40 = 666.

20823533033040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20823533032986 and 20823533033004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20823533033041) by changing a digit.

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, 4011694 + ... + 7598733.

Almost surely, 220823533033040 is an apocalyptic number.

20823533033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20823533033040 is an abundant number, since it is smaller than the sum of its proper divisors (51944313598128).

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

20823533033040 is a wasteful number, since it uses less digits than its factorization.

20823533033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610546 (or 11610537 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 20823533033040 its reverse (4033033532802), we get a palindrome (24856566565842).

The spelling of 20823533033040 in words is "twenty trillion, eight hundred twenty-three billion, five hundred thirty-three million, thirty-three thousand, forty".