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20284950450 = 23522913135597
BaseRepresentation
bin10010111001000100…
…111100011110110010
31221100200201020210010
4102321010330132302
5313020421403300
613152504515350
71315452143142
oct227104743662
957320636703
1020284950450
11866a364566
123b2147bb56
131bb373667b
14da609c922
157daca5a50
hex4b913c7b2

20284950450 has 96 divisors (see below), whose sum is σ = 52440125760. Its totient is φ = 5182777600.

The previous prime is 20284950437. The next prime is 20284950473. The reversal of 20284950450 is 5405948202.

It is a super-2 number, since 2×202849504502 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20284950399 and 20284950408.

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, 552052 + ... + 587648.

It is an arithmetic number, because the mean of its divisors is an integer number (546251310).

Almost surely, 220284950450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20284950450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26220062880).

20284950450 is an abundant number, since it is smaller than the sum of its proper divisors (32155175310).

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

20284950450 is a wasteful number, since it uses less digits than its factorization.

20284950450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35772 (or 35767 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 20284950450 in words is "twenty billion, two hundred eighty-four million, nine hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 131 145 150 174 262 290 393 435 655 725 786 870 1310 1450 1965 2175 3275 3799 3930 4350 6550 7598 9825 11397 18995 19650 22794 35597 37990 56985 71194 94975 106791 113970 177985 189950 213582 284925 355970 533955 569850 889925 1032313 1067910 1779850 2064626 2669775 3096939 4663207 5161565 5339550 6193878 9326414 10323130 13989621 15484695 23316035 25807825 27979242 30969390 46632070 51615650 69948105 77423475 116580175 135233003 139896210 154846950 233160350 270466006 349740525 405699009 676165015 699481050 811398018 1352330030 2028495045 3380825075 4056990090 6761650150 10142475225 20284950450