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10244774956517 = 53826923376181
BaseRepresentation
bin1001010100010100110000…
…1011000000110111100101
31100021101112222111101202122
42111011030023000313211
52320322244342102032
633442215025515325
72105106034216163
oct225051413006745
940241488441678
1010244774956517
11329a86a422812
12119560a4a2b45
135941028735ba
14275bc7a1c233
1512b7541a1012
hex9514c2c0de5

10244774956517 has 8 divisors (see below), whose sum is σ = 10439335357560. Its totient is φ = 10050261324480.

The previous prime is 10244774956453. The next prime is 10244774956523. The reversal of 10244774956517 is 71565947744201.

It is a happy number.

It is a Cunningham number, because it is equal to 32007462+1.

It can be written as a sum of positive squares in 4 ways, for example, as 7385425852996 + 2859349103521 = 2717614^2 + 1690961^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10244774956517 - 26 = 10244774956453 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10244774956517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244774956567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11249834 + ... + 12126347.

It is an arithmetic number, because the mean of its divisors is an integer number (1304916919695).

Almost surely, 210244774956517 is an apocalyptic number.

It is an amenable number.

10244774956517 is a deficient number, since it is larger than the sum of its proper divisors (194560401043).

10244774956517 is an equidigital number, since it uses as much as digits as its factorization.

10244774956517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23384503.

The product of its (nonzero) digits is 59270400, while the sum is 62.

The spelling of 10244774956517 in words is "ten trillion, two hundred forty-four billion, seven hundred seventy-four million, nine hundred fifty-six thousand, five hundred seventeen".

Divisors: 1 53 8269 438257 23376181 1238937593 193297640689 10244774956517