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20516303808 = 26337111329409
BaseRepresentation
bin10011000110110111…
…011111001111000000
31221221211001012221000
4103012313133033000
5314004133210213
613231451332000
71324261463550
oct230667371700
957854035830
1020516303808
118778a11790
123b86a51000
131c1c64a950
14dc8ac3160
15801254c73
hex4c6ddf3c0

20516303808 has 896 divisors, whose sum is σ = 83978496000. Its totient is φ = 4737761280.

The previous prime is 20516303803. The next prime is 20516303809. The reversal of 20516303808 is 80830361502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20516303803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50161908 + ... + 50162316.

It is an arithmetic number, because the mean of its divisors is an integer number (93726000).

Almost surely, 220516303808 is an apocalyptic number.

20516303808 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 20516303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41989248000).

20516303808 is an abundant number, since it is smaller than the sum of its proper divisors (63462192192).

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

20516303808 is a wasteful number, since it uses less digits than its factorization.

20516303808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20516303808 in words is "twenty billion, five hundred sixteen million, three hundred three thousand, eight hundred eight".