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20413343412 = 22337119912477
BaseRepresentation
bin10011000000101110…
…101110011010110100
31221200122022021211000
4103000232232122310
5313301303442122
613213332443300
71321601361510
oct230056563264
957618267730
1020413343412
118725889050
123b58479530
131c0420b837
14db9161140
157e71b80ac
hex4c0bae6b4

20413343412 has 192 divisors, whose sum is σ = 66075770880. Its totient is φ = 5294678400.

The previous prime is 20413343347. The next prime is 20413343417. The reversal of 20413343412 is 21434331402.

20413343412 is a `hidden beast` number, since 204 + 1 + 3 + 3 + 43 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413343417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8239918 + ... + 8242394.

It is an arithmetic number, because the mean of its divisors is an integer number (344144640).

Almost surely, 220413343412 is an apocalyptic number.

20413343412 is a gapful number since it is divisible by the number (22) 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 20413343412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33037885440).

20413343412 is an abundant number, since it is smaller than the sum of its proper divisors (45662427468).

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

20413343412 is a wasteful number, since it uses less digits than its factorization.

20413343412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20413343412 its reverse (21434331402), we get a palindrome (41847674814).

The spelling of 20413343412 in words is "twenty billion, four hundred thirteen million, three hundred forty-three thousand, four hundred twelve".