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10014127605 = 34529229401
BaseRepresentation
bin10010101001110001…
…10111010111110101
3221211220100101120000
421110320313113311
5131002104040410
64333405301513
7503105452206
oct112470672765
927756311500
1010014127605
114279794319
121b35864899
13c378c59c1
146add9d5ad
153d924ddc0
hex254e375f5

10014127605 has 60 divisors (see below), whose sum is σ = 18592237092. Its totient is φ = 5156524800.

The previous prime is 10014127603. The next prime is 10014127639. The reversal of 10014127605 is 50672141001.

It is a happy number.

10014127605 is a `hidden beast` number, since 10 + 0 + 1 + 41 + 2 + 7 + 605 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 709210161 + 9304917444 = 26631^2 + 96462^2 .

It is not a de Polignac number, because 10014127605 - 21 = 10014127603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014127601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 325905 + ... + 355305.

Almost surely, 210014127605 is an apocalyptic number.

10014127605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10014127605 is a deficient number, since it is larger than the sum of its proper divisors (8578109487).

10014127605 is an equidigital number, since it uses as much as digits as its factorization.

10014127605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29476 (or 29438 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10014127605 its reverse (50672141001), we get a palindrome (60686268606).

The spelling of 10014127605 in words is "ten billion, fourteen million, one hundred twenty-seven thousand, six hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 841 1305 2349 2523 3915 4205 7569 11745 12615 22707 29401 37845 68121 88203 113535 147005 264609 340605 441015 793827 852629 1323045 2381481 2557887 3969135 4263145 7673661 11907405 12789435 23020983 24726241 38368305 69062949 74178723 115104915 123631205 222536169 345314745 370893615 667608507 1112680845 2002825521 3338042535 10014127605