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20651064000 = 263537831481
BaseRepresentation
bin10011001110111001…
…100011101011000000
31222022012121202011020
4103032321203223000
5314243133022000
613253103545440
71330516101450
oct231671435300
958265552136
1020651064000
118837a95046
124003bbb280
131c41541cc8
14ddc961d60
1580cec3ba0
hex4cee63ac0

20651064000 has 448 divisors, whose sum is σ = 78923400192. Its totient is φ = 4660224000.

The previous prime is 20651063929. The next prime is 20651064019. The reversal of 20651064000 is 46015602.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 13943260 + ... + 13944740.

It is an arithmetic number, because the mean of its divisors is an integer number (176168304).

Almost surely, 220651064000 is an apocalyptic number.

20651064000 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 20651064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461700096).

20651064000 is an abundant number, since it is smaller than the sum of its proper divisors (58272336192).

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

20651064000 is a wasteful number, since it uses less digits than its factorization.

20651064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 20651064000 its reverse (46015602), we get a palindrome (20697079602).

The spelling of 20651064000 in words is "twenty billion, six hundred fifty-one million, sixty-four thousand".