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20943193600 = 29527415701
BaseRepresentation
bin10011100000010011…
…111100011000000000
32000001120022110122001
4103200103330120000
5320342424143400
613342101153344
71340664131320
oct234023743000
960046273561
1020943193600
11897798336a
1240859bb854
131c89c15664
141029687280
1582897aa6a
hex4e04fc600

20943193600 has 240 divisors, whose sum is σ = 60758048736. Its totient is φ = 7004160000.

The previous prime is 20943193577. The next prime is 20943193633. The reversal of 20943193600 is 639134902.

It is a self number, because there is not a number n which added to its sum of digits gives 20943193600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670750 + ... + 3676450.

Almost surely, 220943193600 is an apocalyptic number.

20943193600 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 20943193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30379024368).

20943193600 is an abundant number, since it is smaller than the sum of its proper divisors (39814855136).

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

20943193600 is an equidigital number, since it uses as much as digits as its factorization.

20943193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777 (or 5756 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

It can be divided in two parts, 209431 and 93600, that added together give a triangular number (303031 = T778).

The spelling of 20943193600 in words is "twenty billion, nine hundred forty-three million, one hundred ninety-three thousand, six hundred".