Search a number
-
+
10661561246333 = 1729193696116097
BaseRepresentation
bin1001101100100101011010…
…0100100010001001111101
31101202020100112102122102002
42123021112210202021331
52344134334134340313
634401504214312045
72150162266222514
oct233112644421175
941666315378362
1010661561246333
1134405a74170a8
121242347358625
135c44c4b2a4ba
1428c04534d67b
151374e960a058
hex9b25692227d

10661561246333 has 32 divisors (see below), whose sum is σ = 11740901153760. Its totient is φ = 9636214210560.

The previous prime is 10661561246311. The next prime is 10661561246353. The reversal of 10661561246333 is 33364216516601.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 337948056889 + 10323613189444 = 581333^2 + 3213038^2 .

It is not a de Polignac number, because 10661561246333 - 26 = 10661561246269 is a prime.

It is a super-2 number, since 2×106615612463332 (a number of 27 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 (10661561246353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662324141 + ... + 662340237.

It is an arithmetic number, because the mean of its divisors is an integer number (366903161055).

Almost surely, 210661561246333 is an apocalyptic number.

It is an amenable number.

10661561246333 is a deficient number, since it is larger than the sum of its proper divisors (1079339907427).

10661561246333 is a wasteful number, since it uses less digits than its factorization.

10661561246333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23297.

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 10661561246333 in words is "ten trillion, six hundred sixty-one billion, five hundred sixty-one million, two hundred forty-six thousand, three hundred thirty-three".

Divisors: 1 17 29 193 493 3281 5597 6961 16097 95149 118337 201869 273649 466813 1343473 3106721 3431773 7935821 22839041 38960717 52814257 90094909 112051217 662332189 1531613453 1904870689 3249485293 21625884881 55241249981 367640042977 627150661549 10661561246333