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19213686450 = 23252721751257
BaseRepresentation
bin10001111001001110…
…011001011010110010
31211121000221101211200
4101321032121122302
5303322200431300
612454315552030
71250063432400
oct217116313262
954530841750
1019213686450
11816a697012
12388275b616
131a7280754a
14d03ac0470
15776be9200
hex4793996b2

19213686450 has 216 divisors, whose sum is σ = 63582165972. Its totient is φ = 4133283840.

The previous prime is 19213686449. The next prime is 19213686463. The reversal of 19213686450 is 5468631291.

19213686450 is a `hidden beast` number, since 1 + 92 + 1 + 36 + 86 + 450 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5071006521 + 14142679929 = 71211^2 + 118923^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 = 19213686396 and 19213686405.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 349222 + ... + 400478.

Almost surely, 219213686450 is an apocalyptic number.

19213686450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19213686450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791082986).

19213686450 is an abundant number, since it is smaller than the sum of its proper divisors (44368479522).

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

19213686450 is a wasteful number, since it uses less digits than its factorization.

19213686450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51306 (or 51291 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19213686450 in words is "nineteen billion, two hundred thirteen million, six hundred eighty-six thousand, four hundred fifty".