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20701056000 = 210353313747
BaseRepresentation
bin10011010001111000…
…010000110000000000
31222102200200121021210
4103101320100300000
5314343432243000
613302051250120
71331664033642
oct232170206000
958380617253
1020701056000
11886322a849
1240188a9940
131c4b9c6881
141005456892
1581259b350
hex4d1e10c00

20701056000 has 704 divisors, whose sum is σ = 74555080704. Its totient is φ = 5087232000.

The previous prime is 20701055971. The next prime is 20701056011. The reversal of 20701056000 is 65010702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440447977 + ... + 440448023.

Almost surely, 220701056000 is an apocalyptic number.

20701056000 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 20701056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37277540352).

20701056000 is an abundant number, since it is smaller than the sum of its proper divisors (53854024704).

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

20701056000 is a wasteful number, since it uses less digits than its factorization.

20701056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 20701056000 its reverse (65010702), we get a palindrome (20766066702).

The spelling of 20701056000 in words is "twenty billion, seven hundred one million, fifty-six thousand".