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20445125033520 = 24325114073633797
BaseRepresentation
bin1001010011000010000000…
…11010100011111000110000
32200101112102220202002110100
410221201000122203320300
510134433104002033040
6111252205532232400
74210053154255245
oct451410032437060
980345386662410
1020445125033520
116572802094a70
12236249b00b700
13b53c75700235
145097995195cc
15256c58169b30
hex1298406a3e30

20445125033520 has 240 divisors, whose sum is σ = 74922011996832. Its totient is φ = 4955169239040.

The previous prime is 20445125033507. The next prime is 20445125033521. The reversal of 20445125033520 is 2533052154402.

20445125033520 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 5 + 125 + 0 + 3 + 3 + 520 = 666.

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

It is a super-2 number, since 2×204451250335202 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20445125033521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31941262 + ... + 32575058.

Almost surely, 220445125033520 is an apocalyptic number.

20445125033520 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 20445125033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37461005998416).

20445125033520 is an abundant number, since it is smaller than the sum of its proper divisors (54476886963312).

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

20445125033520 is a wasteful number, since it uses less digits than its factorization.

20445125033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637900 (or 637891 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 20445125033520 its reverse (2533052154402), we get a palindrome (22978177187922).

The spelling of 20445125033520 in words is "twenty trillion, four hundred forty-five billion, one hundred twenty-five million, thirty-three thousand, five hundred twenty".