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20541043661400 = 233252374346715359
BaseRepresentation
bin1001010101110100101011…
…00111000101101001011000
32200201201000122120020200200
410222322111213011221120
510143021024134131100
6111404231501302200
74220020132200543
oct452722547055130
980651018506620
1020541043661400
1165aa453708859
122378ba9b64960
13b6002079a492
145102984c385a
152594bde08e00
hex12ae959c5a58

20541043661400 has 576 divisors, whose sum is σ = 72655692595200. Its totient is φ = 5194139489280.

The previous prime is 20541043661377. The next prime is 20541043661401. The reversal of 20541043661400 is 416634014502.

20541043661400 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 1 + 0 + 4 + 36 + 614 + 0 + 0 = 666.

It is a super-2 number, since 2×205410436614002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20541043661401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1337386921 + ... + 1337402279.

It is an arithmetic number, because the mean of its divisors is an integer number (126138355200).

Almost surely, 220541043661400 is an apocalyptic number.

20541043661400 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 20541043661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36327846297600).

20541043661400 is an abundant number, since it is smaller than the sum of its proper divisors (52114648933800).

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

20541043661400 is a wasteful number, since it uses less digits than its factorization.

20541043661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 20541043661400 its reverse (416634014502), we get a palindrome (20957677675902).

The spelling of 20541043661400 in words is "twenty trillion, five hundred forty-one billion, forty-three million, six hundred sixty-one thousand, four hundred".