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21634144522380 = 22345131823563501
BaseRepresentation
bin1001110101101000101110…
…11111111101000010001100
32211121012111201200102220000
410322310113133331002030
510313423211444204010
6114002331102324300
74362005161205265
oct472642737750214
984535451612800
1021634144522380
116990a97644565
122514a13289690
13c0c125125170
1454b1535a796c
15277b48d657c0
hex13ad177fd08c

21634144522380 has 240 divisors, whose sum is σ = 73127881499904. Its totient is φ = 5322397248000.

The previous prime is 21634144522337. The next prime is 21634144522481. The reversal of 21634144522380 is 8322544143612.

21634144522380 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 4 + 1 + 44 + 522 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38110630 + ... + 38674130.

Almost surely, 221634144522380 is an apocalyptic number.

21634144522380 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 21634144522380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36563940749952).

21634144522380 is an abundant number, since it is smaller than the sum of its proper divisors (51493736977524).

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

21634144522380 is a wasteful number, since it uses less digits than its factorization.

21634144522380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565358 (or 565347 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 21634144522380 its reverse (8322544143612), we get a palindrome (29956688665992).

The spelling of 21634144522380 in words is "twenty-one trillion, six hundred thirty-four billion, one hundred forty-four million, five hundred twenty-two thousand, three hundred eighty".