Search a number
-
+
20969217900 = 22335211368729
BaseRepresentation
bin10011100001110111…
…001101111101101100
32000010101021122021000
4103201313031331230
5320421104433100
613344431040300
71341431261031
oct234167157554
960111248230
1020969217900
118990638854
124092670090
131c92427b57
14102ccdd388
1582adbb900
hex4e1dcdf6c

20969217900 has 144 divisors (see below), whose sum is σ = 68009709600. Its totient is φ = 5542225920.

The previous prime is 20969217889. The next prime is 20969217917. The reversal of 20969217900 is 971296902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270736 + ... + 339464.

It is an arithmetic number, because the mean of its divisors is an integer number (472289650).

Almost surely, 220969217900 is an apocalyptic number.

20969217900 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 20969217900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34004854800).

20969217900 is an abundant number, since it is smaller than the sum of its proper divisors (47040491700).

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

20969217900 is a wasteful number, since it uses less digits than its factorization.

20969217900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68865 (or 68852 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 20969217900 in words is "twenty billion, nine hundred sixty-nine million, two hundred seventeen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 113 135 150 180 225 226 270 300 339 450 452 540 565 675 678 900 1017 1130 1350 1356 1695 2034 2260 2700 2825 3051 3390 4068 5085 5650 6102 6780 8475 10170 11300 12204 15255 16950 20340 25425 30510 33900 50850 61020 68729 76275 101700 137458 152550 206187 274916 305100 343645 412374 618561 687290 824748 1030935 1237122 1374580 1718225 1855683 2061870 2474244 3092805 3436450 3711366 4123740 5154675 6185610 6872900 7422732 7766377 9278415 10309350 12371220 15464025 15532754 18556830 20618700 23299131 30928050 31065508 37113660 38831885 46392075 46598262 61856100 69897393 77663770 92784150 93196524 116495655 139794786 155327540 185568300 194159425 209692179 232991310 279589572 349486965 388318850 419384358 465982620 582478275 698973930 776637700 838768716 1048460895 1164956550 1397947860 1747434825 2096921790 2329913100 3494869650 4193843580 5242304475 6989739300 10484608950 20969217900