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21714374250 = 2325319748989
BaseRepresentation
bin10100001110010001…
…110000111001101010
32002001022102111121100
4110032101300321222
5323432334434000
613550410222230
71366050064362
oct241621607152
962038374540
1021714374250
11923321a848
124260124976
132080917a7a
14109dc6d9a2
1587150da00
hex50e470e6a

21714374250 has 96 divisors (see below), whose sum is σ = 59014921680. Its totient is φ = 5760988800.

The previous prime is 21714374233. The next prime is 21714374281. The reversal of 21714374250 is 5247341712.

21714374250 is a `hidden beast` number, since 2 + 171 + 437 + 4 + 2 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 301612689 + 21412761561 = 17367^2 + 146331^2 .

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, 418756 + ... + 467744.

Almost surely, 221714374250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21714374250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29507460840).

21714374250 is an abundant number, since it is smaller than the sum of its proper divisors (37300547430).

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

21714374250 is a wasteful number, since it uses less digits than its factorization.

21714374250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49209 (or 49196 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21714374250 in words is "twenty-one billion, seven hundred fourteen million, three hundred seventy-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 197 225 250 375 394 450 591 750 985 1125 1182 1773 1970 2250 2955 3546 4925 5910 8865 9850 14775 17730 24625 29550 44325 48989 49250 73875 88650 97978 146967 147750 221625 244945 293934 440901 443250 489890 734835 881802 1224725 1469670 2204505 2449450 3674175 4409010 6123625 7348350 9650833 11022525 12247250 18370875 19301666 22045050 28952499 36741750 48254165 55112625 57904998 86857497 96508330 110225250 144762495 173714994 241270825 289524990 434287485 482541650 723812475 868574970 1206354125 1447624950 2171437425 2412708250 3619062375 4342874850 7238124750 10857187125 21714374250