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1090213721689 = 10441332
BaseRepresentation
bin11111101110101011100…
…11010011011001011001
310212020000212110022122111
433313111303103121121
5120330224203043224
62152500503352321
7141523340506621
oct17672563233131
93766025408574
101090213721689
113903a2251284
1215735a4526a1
137ba6446a951
143aaa3899881
151d55b75cd94
hexfdd5cd3659

1090213721689 has 3 divisors (see below), whose sum is σ = 1090214765823. Its totient is φ = 1090212677556.

The previous prime is 1090213721609. The next prime is 1090213721767. The reversal of 1090213721689 is 9861273120901.

It is a happy number.

The square root of 1090213721689 is 1044133.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 94393345225 + 995820376464 = 307235^2 + 997908^2 .

It is a de Polignac number, because none of the positive numbers 2k-1090213721689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1090213721609) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 522067 + ... + 1566199.

It is an arithmetic number, because the mean of its divisors is an integer number (363404921941).

Almost surely, 21090213721689 is an apocalyptic number.

1090213721689 is the 1044133-rd square number.

1090213721689 is the 522067-th centered octagonal number.

It is an amenable number.

1090213721689 is a deficient number, since it is larger than the sum of its proper divisors (1044134).

1090213721689 is an frugal number, since it uses more digits than its factorization.

1090213721689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088266 (or 1044133 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 1090213721689 by its sum of digits (49), we get a square (53420472362761 = 73089312).

The spelling of 1090213721689 in words is "one trillion, ninety billion, two hundred thirteen million, seven hundred twenty-one thousand, six hundred eighty-nine".

Divisors: 1 1044133 1090213721689