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20637823248 = 24337103173383
BaseRepresentation
bin10011001110000111…
…000011000100010000
31222021021201001021000
4103032013003010100
5314231240320443
613251512102000
71330265413620
oct231607030420
958237631230
1020637823248
118830571079
123bbb694900
131c3b887343
14ddacb6880
1580bc5a8d3
hex4ce1c3110

20637823248 has 320 divisors, whose sum is σ = 68932730880. Its totient is φ = 5790362112.

The previous prime is 20637823201. The next prime is 20637823289. The reversal of 20637823248 is 84232873602.

20637823248 is a `hidden beast` number, since 2 + 0 + 6 + 378 + 232 + 48 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53884465 + ... + 53884847.

It is an arithmetic number, because the mean of its divisors is an integer number (215414784).

Almost surely, 220637823248 is an apocalyptic number.

20637823248 is a gapful number since it is divisible by the number (28) 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 20637823248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34466365440).

20637823248 is an abundant number, since it is smaller than the sum of its proper divisors (48294907632).

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

20637823248 is a wasteful number, since it uses less digits than its factorization.

20637823248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20637823248 in words is "twenty billion, six hundred thirty-seven million, eight hundred twenty-three thousand, two hundred forty-eight".