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20663350200 = 23325215497411
BaseRepresentation
bin10011001111101000…
…011011001110111000
31222100001201221122200
4103033220123032320
5314304304201300
613254223150200
71331025402333
oct231750331670
958301657580
1020663350200
118843a16929
124008145360
131c43c5434c
14100043d61a
1580e0ee200
hex4cfa1b3b8

20663350200 has 144 divisors (see below), whose sum is σ = 69448587000. Its totient is φ = 5505926400.

The previous prime is 20663350159. The next prime is 20663350207. The reversal of 20663350200 is 205336602.

20663350200 is a `hidden beast` number, since 2 + 0 + 6 + 633 + 5 + 0 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20663350207) 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 35 ways as a sum of consecutive naturals, for example, 2784495 + ... + 2791905.

Almost surely, 220663350200 is an apocalyptic number.

20663350200 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 20663350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724293500).

20663350200 is an abundant number, since it is smaller than the sum of its proper divisors (48785236800).

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

20663350200 is a wasteful number, since it uses less digits than its factorization.

20663350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 20663350200 its reverse (205336602), we get a palindrome (20868686802).

The spelling of 20663350200 in words is "twenty billion, six hundred sixty-three million, three hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1549 1800 3098 4647 6196 7411 7745 9294 12392 13941 14822 15490 18588 22233 23235 27882 29644 30980 37055 37176 38725 44466 46470 55764 59288 61960 66699 69705 74110 77450 88932 92940 111165 111528 116175 133398 139410 148220 154900 177864 185275 185880 222330 232350 266796 278820 296440 309800 333495 348525 370550 444660 464700 533592 555825 557640 666990 697050 741100 889320 929400 1111650 1333980 1394100 1482200 1667475 2223300 2667960 2788200 3334950 4446600 6669900 11479639 13339800 22959278 34438917 45918556 57398195 68877834 91837112 103316751 114796390 137755668 172194585 206633502 229592780 275511336 286990975 344389170 413267004 459185560 516583755 573981950 688778340 826534008 860972925 1033167510 1147963900 1377556680 1721945850 2066335020 2295927800 2582918775 3443891700 4132670040 5165837550 6887783400 10331675100 20663350200