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10512153414 = 2327271307859
BaseRepresentation
bin10011100101001001…
…01011101101000110
31000010121110201112100
421302210223231012
5133012102402124
64455035532530
7521333554410
oct116244535506
930117421470
1010512153414
1145049224a4
1220545ba146
13cb6b39329
1471a19d9b0
15417d271c9
hex27292bb46

10512153414 has 48 divisors (see below), whose sum is σ = 26126231040. Its totient is φ = 2992379760.

The previous prime is 10512153403. The next prime is 10512153419. The reversal of 10512153414 is 41435121501.

10512153414 is a `hidden beast` number, since 1 + 0 + 5 + 121 + 534 + 1 + 4 = 666.

10512153414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105121534142 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10512153419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119784 + ... + 188075.

It is an arithmetic number, because the mean of its divisors is an integer number (544296480).

Almost surely, 210512153414 is an apocalyptic number.

10512153414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10512153414 is an abundant number, since it is smaller than the sum of its proper divisors (15614077626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10512153414 is a wasteful number, since it uses less digits than its factorization.

10512153414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308145 (or 308142 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10512153414 its reverse (41435121501), we get a palindrome (51947274915).

The spelling of 10512153414 in words is "ten billion, five hundred twelve million, one hundred fifty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 271 542 813 1626 1897 2439 3794 4878 5691 11382 17073 34146 307859 615718 923577 1847154 2155013 2770731 4310026 5541462 6465039 12930078 19395117 38790234 83429789 166859578 250289367 500578734 584008523 750868101 1168017046 1501736202 1752025569 3504051138 5256076707 10512153414