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20004710040 = 23325725131627
BaseRepresentation
bin10010101000010111…
…111010011010011000
31220122011101120012200
4102220113322122120
5311432201210130
613105014210200
71305510141540
oct225027723230
956564346180
1020004710040
118536156817
123a63653960
131b6a666743
14d7ab90320
157c139b760
hex4a85fa698

20004710040 has 192 divisors, whose sum is σ = 74601596160. Its totient is φ = 4554144000.

The previous prime is 20004710021. The next prime is 20004710053. The reversal of 20004710040 is 4001740002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20004709995 and 20004710022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616707 + ... + 648333.

It is an arithmetic number, because the mean of its divisors is an integer number (388549980).

Almost surely, 220004710040 is an apocalyptic number.

20004710040 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 20004710040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37300798080).

20004710040 is an abundant number, since it is smaller than the sum of its proper divisors (54596886120).

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

20004710040 is a wasteful number, since it uses less digits than its factorization.

20004710040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31902 (or 31895 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 20004710040 in words is "twenty billion, four million, seven hundred ten thousand, forty".