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20034724140 = 22335893371237
BaseRepresentation
bin10010101010001010…
…011010000100101100
31220201020212102211000
4102222022122010230
5312012342133030
613112005400300
71306323226314
oct225212320454
956636772730
1020034724140
118551096862
123a71709090
131b73944c72
14d80b64444
157c3d29860
hex4aa29a12c

20034724140 has 192 divisors, whose sum is σ = 63268732800. Its totient is φ = 5262630912.

The previous prime is 20034724121. The next prime is 20034724159. The reversal of 20034724140 is 4142743002.

20034724140 is a `hidden beast` number, since 200 + 3 + 47 + 2 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20034724121) and next prime (20034724159).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16195602 + ... + 16196838.

It is an arithmetic number, because the mean of its divisors is an integer number (329524650).

Almost surely, 220034724140 is an apocalyptic number.

20034724140 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 20034724140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31634366400).

20034724140 is an abundant number, since it is smaller than the sum of its proper divisors (43234008660).

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

20034724140 is a wasteful number, since it uses less digits than its factorization.

20034724140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20034724140 in words is "twenty billion, thirty-four million, seven hundred twenty-four thousand, one hundred forty".