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20477207680 = 27543972883
BaseRepresentation
bin10011000100100010…
…010110010010000000
31221212002110221010021
4103010202112102000
5313414131121210
613223533343224
71323305251636
oct230442262200
957762427107
1020477207680
118758939236
123b75937b14
131c1450c647
14dc3827356
157ecad0bda
hex4c4896480

20477207680 has 64 divisors (see below), whose sum is σ = 49065508800. Its totient is φ = 8172112896.

The previous prime is 20477207629. The next prime is 20477207689. The reversal of 20477207680 is 8670277402.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20477207689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 244519 + ... + 317401.

It is an arithmetic number, because the mean of its divisors is an integer number (766648575).

Almost surely, 220477207680 is an apocalyptic number.

20477207680 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 20477207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24532754400).

20477207680 is an abundant number, since it is smaller than the sum of its proper divisors (28588301120).

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

20477207680 is an equidigital number, since it uses as much as digits as its factorization.

20477207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73341 (or 73329 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 20477207680 in words is "twenty billion, four hundred seventy-seven million, two hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 439 640 878 1756 2195 3512 4390 7024 8780 14048 17560 28096 35120 56192 70240 72883 140480 145766 280960 291532 364415 583064 728830 1166128 1457660 2332256 2915320 4664512 5830640 9329024 11661280 23322560 31995637 46645120 63991274 127982548 159978185 255965096 319956370 511930192 639912740 1023860384 1279825480 2047720768 2559650960 4095441536 5119301920 10238603840 20477207680