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10744747741 = 7132191014733
BaseRepresentation
bin10100000000110111…
…11101011011011101
31000201211010201222001
422000123331123131
5134001123411431
64534105122301
7530156564110
oct120033753335
930654121861
1010744747741
114614148012
1220ba489391
131023096400
1473d028577
1542d46de61
hex2806fd6dd

10744747741 has 48 divisors (see below), whose sum is σ = 14138375040. Its totient is φ = 7972473600.

The previous prime is 10744747709. The next prime is 10744747753. The reversal of 10744747741 is 14774744701.

It is a happy number.

It is not a de Polignac number, because 10744747741 - 25 = 10744747709 is a prime.

It is a super-4 number, since 4×107447477414 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10744747691 and 10744747700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10744717741) 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 47 ways as a sum of consecutive naturals, for example, 2267811 + ... + 2272543.

It is an arithmetic number, because the mean of its divisors is an integer number (294549480).

Almost surely, 210744747741 is an apocalyptic number.

It is an amenable number.

10744747741 is a deficient number, since it is larger than the sum of its proper divisors (3393627299).

10744747741 is a wasteful number, since it uses less digits than its factorization.

10744747741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 46.

The spelling of 10744747741 in words is "ten billion, seven hundred forty-four million, seven hundred forty-seven thousand, seven hundred forty-one".

Divisors: 1 7 13 19 91 101 133 169 247 707 1183 1313 1729 1919 3211 4733 9191 13433 17069 22477 24947 33131 61529 89927 119483 174629 324311 430703 478033 629489 799877 1169051 2270177 3346231 5599139 6214429 8183357 9082627 15197663 43501003 63578389 80787577 106383641 118074151 565513039 826519057 1534963963 10744747741