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21080544461424 = 243272910334720177
BaseRepresentation
bin1001100101100001100100…
…10111010100001001110000
32202122021120101111111210200
410302300302113110021300
510230340423340231144
6112500133551555200
74304006354265420
oct462606227241160
982567511444720
1021080544461424
116798232863a28
12244567382bb00
13b9bb6b4358b6
1452c43788a480
152685477b7c69
hex132c325d4270

21080544461424 has 480 divisors, whose sum is σ = 70632892062720. Its totient is φ = 5741982425088.

The previous prime is 21080544461423. The next prime is 21080544461443. The reversal of 21080544461424 is 42416444508012.

21080544461424 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 0 + 5 + 4 + 4 + 4 + 614 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21080544461424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21080544461423) 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 95 ways as a sum of consecutive naturals, for example, 1044770824 + ... + 1044791000.

It is an arithmetic number, because the mean of its divisors is an integer number (147151858464).

Almost surely, 221080544461424 is an apocalyptic number.

21080544461424 is a gapful number since it is divisible by the number (24) 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 21080544461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35316446031360).

21080544461424 is an abundant number, since it is smaller than the sum of its proper divisors (49552347601296).

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

21080544461424 is a wasteful number, since it uses less digits than its factorization.

21080544461424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

Adding to 21080544461424 its reverse (42416444508012), we get a palindrome (63496988969436).

The spelling of 21080544461424 in words is "twenty-one trillion, eighty billion, five hundred forty-four million, four hundred sixty-one thousand, four hundred twenty-four".