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1088666865664 = 212721721372
BaseRepresentation
bin11111101011110011001…
…10100001000000000000
310212002001001202220002121
433311321212201000000
5120314042204200124
62152043205054024
7141440115450400
oct17657146410000
93762031686077
101088666865664
1138a779078474
12156ba83b7314
137b878b51321
143a99827a800
151d4baa5a2e4
hexfd799a1000

1088666865664 has 351 divisors, whose sum is σ = 2710021780263. Its totient is φ = 435920830464.

The previous prime is 1088666865641. The next prime is 1088666865673. The reversal of 1088666865664 is 4665686668801.

The square root of 1088666865664 is 1043392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 152262283264 + 936404582400 = 390208^2 + 967680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1088666865593 and 1088666865602.

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 26 ways as a sum of consecutive naturals, for example, 7946473404 + ... + 7946473540.

Almost surely, 21088666865664 is an apocalyptic number.

1088666865664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1088666865664 is the 1043392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1088666865664

1088666865664 is an abundant number, since it is smaller than the sum of its proper divisors (1621354914599).

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

1088666865664 is an frugal number, since it uses more digits than its factorization.

1088666865664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 70.

The spelling of 1088666865664 in words is "one trillion, eighty-eight billion, six hundred sixty-six million, eight hundred sixty-five thousand, six hundred sixty-four".