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19870058208 = 253721113109271
BaseRepresentation
bin10010100000010110…
…010000011011100000
31220021210000112121210
4102200112100123200
5311143213330313
613043404150120
71302253464600
oct224026203340
956253015553
1019870058208
118477147910
123a26538340
131b487ac7c0
14d66d3cc00
157b464e9c3
hex4a05906e0

19870058208 has 576 divisors, whose sum is σ = 72201507840. Its totient is φ = 4702924800.

The previous prime is 19870058207. The next prime is 19870058239. The reversal of 19870058208 is 80285007891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19870058207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73321113 + ... + 73321383.

It is an arithmetic number, because the mean of its divisors is an integer number (125349840).

Almost surely, 219870058208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19870058208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100753920).

19870058208 is an abundant number, since it is smaller than the sum of its proper divisors (52331449632).

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

19870058208 is a wasteful number, since it uses less digits than its factorization.

19870058208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 19870058208 in words is "nineteen billion, eight hundred seventy million, fifty-eight thousand, two hundred eight".