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21445200000 = 27325572337
BaseRepresentation
bin10011111110001110…
…111100100010000000
32001100112221000221200
4103332032330202000
5322404432400000
613503553021200
71356301122660
oct237616744200
961315830850
1021445200000
119105290194
1241a5b54800
132039c20a73
1410762021a0
15857a8d500
hex4fe3bc880

21445200000 has 1152 divisors, whose sum is σ = 94471453440. Its totient is φ = 4561920000.

The previous prime is 21445199989. The next prime is 21445200011. The reversal of 21445200000 is 254412.

21445200000 is a `hidden beast` number, since 2 + 144 + 520 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21445199989) and next prime (21445200011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 579599982 + ... + 579600018.

It is an arithmetic number, because the mean of its divisors is an integer number (82006470).

Almost surely, 221445200000 is an apocalyptic number.

21445200000 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 21445200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47235726720).

21445200000 is an abundant number, since it is smaller than the sum of its proper divisors (73026253440).

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

21445200000 is an equidigital number, since it uses as much as digits as its factorization.

21445200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 21445200000 its reverse (254412), we get a palindrome (21445454412).

It can be divided in two parts, 21445 and 200000, that added together give a triangular number (221445 = T665).

The spelling of 21445200000 in words is "twenty-one billion, four hundred forty-five million, two hundred thousand".