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35821112040 = 233257294710429
BaseRepresentation
bin100001010111000110…
…101100101011101000
310102110102202000220100
4201113012230223220
51041330201041130
624242254425400
72405452266660
oct412706545350
9112412660810
1035821112040
11142120a172a
126b38502260
1334bb3891ac
141a3b5ad1a0
15de9bc7c60
hex8571acae8

35821112040 has 384 divisors, whose sum is σ = 140579712000. Its totient is φ = 7736408064.

The previous prime is 35821112017. The next prime is 35821112051. The reversal of 35821112040 is 4021112853.

It is a junction number, because it is equal to n+sod(n) for n = 35821111995 and 35821112013.

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 95 ways as a sum of consecutive naturals, for example, 3429546 + ... + 3439974.

It is an arithmetic number, because the mean of its divisors is an integer number (366093000).

Almost surely, 235821112040 is an apocalyptic number.

35821112040 is a gapful number since it is divisible by the number (30) 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 35821112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70289856000).

35821112040 is an abundant number, since it is smaller than the sum of its proper divisors (104758599960).

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

35821112040 is a wasteful number, since it uses less digits than its factorization.

35821112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529 (or 10522 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 35821112040 its reverse (4021112853), we get a palindrome (39842224893).

The spelling of 35821112040 in words is "thirty-five billion, eight hundred twenty-one million, one hundred twelve thousand, forty".