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21470121637344 = 2533263148763541
BaseRepresentation
bin1001110000110111001101…
…11110010011010111100000
32211000112010200200120002000
410320123212332103113200
510303231302114343334
6113355123202524000
74344110425532262
oct470334676232740
984015120616060
1021470121637344
116928477a37326
1224a9078366600
13bc98155b34c3
145432336a3b32
15273749132299
hex1386e6f935e0

21470121637344 has 192 divisors, whose sum is σ = 62902553978880. Its totient is φ = 7124588720640.

The previous prime is 21470121637343. The next prime is 21470121637403. The reversal of 21470121637344 is 44373612107412.

21470121637344 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 0 + 1 + 2 + 1 + 637 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×214701216373442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21470121637344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21470121637343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337862214 + ... + 337925754.

It is an arithmetic number, because the mean of its divisors is an integer number (327617468640).

Almost surely, 221470121637344 is an apocalyptic number.

21470121637344 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 21470121637344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31451276989440).

21470121637344 is an abundant number, since it is smaller than the sum of its proper divisors (41432432341536).

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

21470121637344 is a wasteful number, since it uses less digits than its factorization.

21470121637344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65310 (or 65296 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 21470121637344 in words is "twenty-one trillion, four hundred seventy billion, one hundred twenty-one million, six hundred thirty-seven thousand, three hundred forty-four".