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20300192064 = 2632127359773
BaseRepresentation
bin10010111001111111…
…000101100101000000
31221101202101121100100
4102321333011211000
5313033322121224
613154211322400
71316025533265
oct227177054500
957352347310
1020300192064
118677a24839
123b265b0400
131bb6941c89
14da810926c
157dc2b6ac9
hex4b9fc5940

20300192064 has 168 divisors, whose sum is σ = 58884433920. Its totient is φ = 6686088192.

The previous prime is 20300191979. The next prime is 20300192089. The reversal of 20300192064 is 46029100302.

It is a super-3 number, since 3×203001920643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26261182 + ... + 26261954.

Almost surely, 220300192064 is an apocalyptic number.

20300192064 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 20300192064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29442216960).

20300192064 is an abundant number, since it is smaller than the sum of its proper divisors (38584241856).

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

20300192064 is a wasteful number, since it uses less digits than its factorization.

20300192064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 20300192064 its reverse (46029100302), we get a palindrome (66329292366).

The spelling of 20300192064 in words is "twenty billion, three hundred million, one hundred ninety-two thousand, sixty-four".