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21120550260480 = 2834511176771229
BaseRepresentation
bin1001100110101100000101…
…11001010100111100000000
32202210002211110110200010000
410303112002321110330000
510232014341331313410
6112530351415040000
74306623632051166
oct463260271247400
982702743420100
1021120550260480
1168031a2012980
122451379670000
13ba2875768848
14530350b27236
152695d9a47dc0
hex133582e54f00

21120550260480 has 2880 divisors, whose sum is σ = 90236141614080. Its totient is φ = 4659727564800.

The previous prime is 21120550260473. The next prime is 21120550260503. The reversal of 21120550260480 is 8406205502112.

21120550260480 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 550 + 2 + 60 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 92229477006 + ... + 92229477234.

It is an arithmetic number, because the mean of its divisors is an integer number (31331993616).

Almost surely, 221120550260480 is an apocalyptic number.

21120550260480 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 21120550260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45118070807040).

21120550260480 is an abundant number, since it is smaller than the sum of its proper divisors (69115591353600).

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

21120550260480 is a wasteful number, since it uses less digits than its factorization.

21120550260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 21120550260480 its reverse (8406205502112), we get a palindrome (29526755762592).

The spelling of 21120550260480 in words is "twenty-one trillion, one hundred twenty billion, five hundred fifty million, two hundred sixty thousand, four hundred eighty".