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1006205451369 = 319236863111833
BaseRepresentation
bin11101010010001101000…
…01001011110001101001
310120012012012002000110020
432221012201023301221
5112441202043420434
62050124442511053
7132460465134666
oct16510641136151
93505165060406
101006205451369
113588028223a8
12143014205489
1373b66aa9c61
14369b4656a6d
151b291433849
hexea4684bc69

1006205451369 has 32 divisors (see below), whose sum is σ = 1473846865920. Its totient is φ = 607773817728.

The previous prime is 1006205451367. The next prime is 1006205451379. The reversal of 1006205451369 is 9631545026001.

It is not a de Polignac number, because 1006205451369 - 21 = 1006205451367 is a prime.

It is a super-2 number, since 2×10062054513692 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1006205451369.

It is not an unprimeable number, because it can be changed into a prime (1006205451367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8941477 + ... + 9053309.

It is an arithmetic number, because the mean of its divisors is an integer number (46057714560).

Almost surely, 21006205451369 is an apocalyptic number.

1006205451369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1006205451369 is a deficient number, since it is larger than the sum of its proper divisors (467641414551).

1006205451369 is a wasteful number, since it uses less digits than its factorization.

1006205451369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118741.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 1006205451369 in words is "one trillion, six billion, two hundred five million, four hundred fifty-one thousand, three hundred sixty-nine".

Divisors: 1 3 19 23 57 69 437 1311 6863 20589 111833 130397 157849 335499 391191 473547 2124827 2572159 2999131 6374481 7716477 8997393 48871021 146613063 767509879 2302529637 14582687701 17652727217 43748063103 52958181651 335401817123 1006205451369