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13431464505 = 3251092738321
BaseRepresentation
bin11001000001001001…
…11110001000111001
31021200001200002111100
430200210332020321
5210001423331010
610100442522013
7653562364434
oct144044761071
937601602440
1013431464505
115772791098
12272a206309
1313608aba44
14915ba081b
1553927d2c0
hex32093e239

13431464505 has 24 divisors (see below), whose sum is σ = 23494802760. Its totient is φ = 7097725440.

The previous prime is 13431464489. The next prime is 13431464507. The reversal of 13431464505 is 50546413431.

13431464505 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 4 + 645 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 498316329 + 12933148176 = 22323^2 + 113724^2 .

It is not a de Polignac number, because 13431464505 - 24 = 13431464489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13431464505.

It is not an unprimeable number, because it can be changed into a prime (13431464507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364256 + ... + 1374065.

It is an arithmetic number, because the mean of its divisors is an integer number (978950115).

Almost surely, 213431464505 is an apocalyptic number.

13431464505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13431464505 is a deficient number, since it is larger than the sum of its proper divisors (10063338255).

13431464505 is a wasteful number, since it uses less digits than its factorization.

13431464505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738441 (or 2738438 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13431464505 its reverse (50546413431), we get a palindrome (63977877936).

The spelling of 13431464505 in words is "thirteen billion, four hundred thirty-one million, four hundred sixty-four thousand, five hundred five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 2738321 8214963 13691605 24644889 41074815 123224445 298476989 895430967 1492384945 2686292901 4477154835 13431464505