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1000806227316 = 2234751719569
BaseRepresentation
bin11101001000001001011…
…00110001110101110100
310112200020220111000110000
432210010230301311310
5112344122343233231
62043433010431300
7132206624400000
oct16440454616564
93480226430400
101000806227316
1135649202a465
12141b67b92530
13734b631c01c
1436621553700
151b07741d6e6
hexe904b31d74

1000806227316 has 720 divisors, whose sum is σ = 3407956675200. Its totient is φ = 254511839232.

The previous prime is 1000806227227. The next prime is 1000806227321. The reversal of 1000806227316 is 6137226080001.

1000806227316 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 0 + 622 + 7 + 3 + 16 = 666.

It is a super-2 number, since 2×10008062273162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1758885880 + ... + 1758886448.

It is an arithmetic number, because the mean of its divisors is an integer number (4733273160).

Almost surely, 21000806227316 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 1000806227316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703978337600).

1000806227316 is an abundant number, since it is smaller than the sum of its proper divisors (2407150447884).

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

1000806227316 is an equidigital number, since it uses as much as digits as its factorization.

1000806227316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1000806227316 in words is "one trillion, eight hundred six million, two hundred twenty-seven thousand, three hundred sixteen".