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2040317987652 = 22337172337186551
BaseRepresentation
bin11101101100001100011…
…011011100101101000100
321020001102021020211112000
4131230030123130231010
5231412032401101102
64201150435225300
7300256660513410
oct35541433345504
97201367224460
102040317987652
1171732634973a
1228b516448230
1311a52a471bb9
1470a75393d40
153811787801c
hex1db0c6dcb44

2040317987652 has 384 divisors, whose sum is σ = 6859860295680. Its totient is φ = 510615705600.

The previous prime is 2040317987647. The next prime is 2040317987671. The reversal of 2040317987652 is 2567897130402.

It is a happy number.

2040317987652 is a `hidden beast` number, since 2 + 0 + 403 + 179 + 8 + 7 + 65 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10843777 + ... + 11030327.

It is an arithmetic number, because the mean of its divisors is an integer number (17864219520).

It is a 1-persistent number, because it is pandigital, but 2⋅2040317987652 = 4080635975304 is not.

Almost surely, 22040317987652 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 2040317987652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429930147840).

2040317987652 is an abundant number, since it is smaller than the sum of its proper divisors (4819542308028).

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

2040317987652 is a wasteful number, since it uses less digits than its factorization.

2040317987652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186648 (or 186640 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2040317987652 in words is "two trillion, forty billion, three hundred seventeen million, nine hundred eighty-seven thousand, six hundred fifty-two".