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10746241197316 = 2219228123072
BaseRepresentation
bin1001110001100000110111…
…1000111010010100000100
31102001022221000200212020221
42130120031320322110010
52402031300221303231
634504431031434124
72156250606020212
oct234301570722404
942038830625227
1010746241197316
113473501002669
12125683a525944
135cc49b6c3581
14292199877cb2
151398038b0d11
hex9c60de3a504

10746241197316 has 81 divisors (see below), whose sum is σ = 19983778596117. Its totient is φ = 5055687887040.

The previous prime is 10746241197283. The next prime is 10746241197359. The reversal of 10746241197316 is 61379114264701.

The square root of 10746241197316 is 3278146.

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

It can be written as a sum of positive squares in only one way, i.e., 7262194963716 + 3484046233600 = 2694846^2 + 1866560^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 35004042835 + ... + 35004043141.

Almost surely, 210746241197316 is an apocalyptic number.

10746241197316 is the 3278146-th square number.

It is an amenable number.

10746241197316 is a deficient number, since it is larger than the sum of its proper divisors (9237537398801).

10746241197316 is an frugal number, since it uses more digits than its factorization.

10746241197316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 10746241197316 in words is "ten trillion, seven hundred forty-six billion, two hundred forty-one million, one hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 4 19 38 76 281 307 361 562 614 722 1124 1228 1444 5339 5833 10678 11666 21356 23332 78961 86267 94249 101441 110827 157922 172534 188498 202882 221654 315844 345068 376996 405764 443308 1500259 1639073 1790731 3000518 3278146 3581462 6001036 6556292 7162924 24241027 26483969 28504921 31142387 34023889 48482054 52967938 57009842 62284774 68047778 96964108 105935876 114019684 124569548 136095556 460579513 503195411 921159026 1006390822 1842318052 2012781644 7441995289 8751010747 9560712809 14883990578 17502021494 19121425618 29767981156 35004042988 38242851236 141397910491 282795820982 565591641964 2686560299329 5373120598658 10746241197316