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20868198912 = 293311373709
BaseRepresentation
bin10011011011110101…
…110111001000000000
31222212100012100021000
4103123311313020000
5320214224331122
613330421532000
71336063523031
oct233365671000
958770170230
1020868198912
118939610790
124064874000
131c775185c2
14101d724a88
158220b50ac
hex4dbd77200

20868198912 has 320 divisors, whose sum is σ = 69226819200. Its totient is φ = 6151127040.

The previous prime is 20868198877. The next prime is 20868198913. The reversal of 20868198912 is 21989186802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20868198913) 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 31 ways as a sum of consecutive naturals, for example, 5624514 + ... + 5628222.

It is an arithmetic number, because the mean of its divisors is an integer number (216333810).

Almost surely, 220868198912 is an apocalyptic number.

20868198912 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 20868198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34613409600).

20868198912 is an abundant number, since it is smaller than the sum of its proper divisors (48358620288).

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

20868198912 is a wasteful number, since it uses less digits than its factorization.

20868198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 20868198912 in words is "twenty billion, eight hundred sixty-eight million, one hundred ninety-eight thousand, nine hundred twelve".