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20649807360 = 29335731367
BaseRepresentation
bin10011001110110100…
…110000111000000000
31222022010020220101000
4103032310300320000
5314242322313420
613253021012000
71330502316000
oct231664607000
958263226330
1020649807360
1188373069a6
1240036b4000
131c411c2030
14ddc716000
1580cd26690
hex4ced30e00

20649807360 has 1280 divisors, whose sum is σ = 93494016000. Its totient is φ = 4291854336.

The previous prime is 20649807349. The next prime is 20649807361. The reversal of 20649807360 is 6370894602.

20649807360 is a `hidden beast` number, since 206 + 4 + 9 + 80 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×206498073602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20649807361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308206047 + ... + 308206113.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200).

Almost surely, 220649807360 is an apocalyptic number.

20649807360 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 20649807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46747008000).

20649807360 is an abundant number, since it is smaller than the sum of its proper divisors (72844208640).

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

20649807360 is an equidigital number, since it uses as much as digits as its factorization.

20649807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

It can be divided in two parts, 2064 and 9807360, that added together give a square (9809424 = 31322).

The spelling of 20649807360 in words is "twenty billion, six hundred forty-nine million, eight hundred seven thousand, three hundred sixty".