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10544581313 = 721716937477
BaseRepresentation
bin10011101001000000…
…11000101011000001
31000012212111020020122
421310200120223001
5133043403100223
64502154550025
7522206314400
oct116440305301
930185436218
1010544581313
114521161012
122063438315
13cc0781436
14720601637
1541aad05c8
hex274818ac1

10544581313 has 24 divisors (see below), whose sum is σ = 12997093032. Its totient is φ = 8500391424.

The previous prime is 10544581291. The next prime is 10544581319. The reversal of 10544581313 is 31318544501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5096960449 + 5447620864 = 71393^2 + 73808^2 .

It is not a de Polignac number, because 10544581313 - 230 = 9470839489 is a prime.

It is a super-2 number, since 2×105445813132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10544581319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406531 + ... + 1414007.

It is an arithmetic number, because the mean of its divisors is an integer number (541545543).

Almost surely, 210544581313 is an apocalyptic number.

It is an amenable number.

10544581313 is a deficient number, since it is larger than the sum of its proper divisors (2452511719).

10544581313 is a wasteful number, since it uses less digits than its factorization.

10544581313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9194 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 10544581313 in words is "ten billion, five hundred forty-four million, five hundred eighty-one thousand, three hundred thirteen".

Divisors: 1 7 17 49 119 833 1693 7477 11851 28781 52339 82957 127109 201467 366373 889763 1410269 6228341 12658561 88609927 215195537 620269489 1506368759 10544581313