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997814418799 = 11473271758991
BaseRepresentation
bin11101000010100100101…
…11111011110101101111
310112101112101212101201011
432201102113323311233
5112322010442400144
62042220053530051
7132042525422122
oct16412227736557
93471471771634
10997814418799
11355197254440
12141472043927
137312a545123
143641a0803b9
151ae4e946a34
hexe8525fbd6f

997814418799 has 16 divisors (see below), whose sum is σ = 1111737747456. Its totient is φ = 887761746400.

The previous prime is 997814418793. The next prime is 997814418817.

997814418799 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 997814418799 - 215 = 997814386031 is a prime.

It is a super-2 number, since 2×9978144187992 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997814418793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16885194 + ... + 16944184.

It is an arithmetic number, because the mean of its divisors is an integer number (69483609216).

Almost surely, 2997814418799 is an apocalyptic number.

997814418799 is a deficient number, since it is larger than the sum of its proper divisors (113923328657).

997814418799 is a wasteful number, since it uses less digits than its factorization.

997814418799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91766.

The product of its digits is 329204736, while the sum is 76.

The spelling of 997814418799 in words is "nine hundred ninety-seven billion, eight hundred fourteen million, four hundred eighteen thousand, seven hundred ninety-nine".

Divisors: 1 11 47 517 32717 58991 359887 648901 1537699 2772577 16914689 30498347 1930008547 21230094017 90710401709 997814418799