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20778129450 = 23352131183939
BaseRepresentation
bin10011010110011110…
…010001100000101010
31222122001201100012000
4103112132101200222
5320023200120300
613313443231430
71333621120611
oct232636214052
958561640160
1020778129450
1188a2792211
12403a678576
131c61970b70
14101179a878
15819222c00
hex4d679182a

20778129450 has 96 divisors (see below), whose sum is σ = 61659595200. Its totient is φ = 5114612160.

The previous prime is 20778129439. The next prime is 20778129457. The reversal of 20778129450 is 5492187702.

It is a happy number.

20778129450 is a `hidden beast` number, since 2 + 0 + 7 + 78 + 129 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20778129396 and 20778129405.

It is not an unprimeable number, because it can be changed into a prime (20778129457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574420 + ... + 609519.

It is an arithmetic number, because the mean of its divisors is an integer number (642287450).

Almost surely, 220778129450 is an apocalyptic number.

20778129450 is an abundant number, since it is smaller than the sum of its proper divisors (40881465750).

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

20778129450 is a wasteful number, since it uses less digits than its factorization.

20778129450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183973 (or 1183962 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20778129450 in words is "twenty billion, seven hundred seventy-eight million, one hundred twenty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 5850 8775 17550 1183939 2367878 3551817 5919695 7103634 10655451 11839390 15391207 17759085 21310902 29598475 30782414 31966353 35518170 46173621 53277255 59196950 63932706 76956035 88795425 92347242 106554510 138520863 153912070 159831765 177590850 230868105 266386275 277041726 319663530 384780175 415562589 461736210 532772550 692604315 769560350 799158825 831125178 1154340525 1385208630 1598317650 2077812945 2308681050 3463021575 4155625890 6926043150 10389064725 20778129450