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10744319971 = 711217964037
BaseRepresentation
bin10100000000110100…
…10100111111100011
31000201210100000011201
422000122110333203
5134001021214341
64534052022031
7530153133010
oct120032247743
930653300151
1010744319971
114613985690
1220ba301917
131022c767a8
1473cd56707
1542d3d7331
hex280694fe3

10744319971 has 16 divisors (see below), whose sum is σ = 13401872640. Its totient is φ = 8368224480.

The previous prime is 10744319959. The next prime is 10744319983. The reversal of 10744319971 is 17991344701.

It is an interprime number because it is at equal distance from previous prime (10744319959) and next prime (10744319983).

It is not a de Polignac number, because 10744319971 - 219 = 10743795683 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10744319471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135765 + ... + 199801.

It is an arithmetic number, because the mean of its divisors is an integer number (837617040).

Almost surely, 210744319971 is an apocalyptic number.

10744319971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10744319971 is a deficient number, since it is larger than the sum of its proper divisors (2657552669).

10744319971 is a wasteful number, since it uses less digits than its factorization.

10744319971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66234.

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 10744319971 in words is "ten billion, seven hundred forty-four million, three hundred nineteen thousand, nine hundred seventy-one".

Divisors: 1 7 11 77 2179 15253 23969 64037 167783 448259 704407 4930849 139536623 976756361 1534902853 10744319971