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10146005285 = 513769202981
BaseRepresentation
bin10010111001011111…
…11100000100100101
3222012002111110201112
421130233330010211
5131234334132120
64354440034405
7506266423223
oct113457740445
928162443645
1010146005285
114337178a39
121b71a62a05
13c5901b030
146c36cbb13
153e5aedbc5
hex25cbfc125

10146005285 has 16 divisors (see below), whose sum is σ = 13128875760. Its totient is φ = 7482654720.

The previous prime is 10146005281. The next prime is 10146005351. The reversal of 10146005285 is 58250064101.

It can be written as a sum of positive squares in 8 ways, for example, as 2118024484 + 8027980801 = 46022^2 + 89599^2 .

It is not a de Polignac number, because 10146005285 - 22 = 10146005281 is a prime.

It is a super-3 number, since 3×101460052853 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146005281) 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, 51506 + ... + 151475.

It is an arithmetic number, because the mean of its divisors is an integer number (820554735).

Almost surely, 210146005285 is an apocalyptic number.

It is an amenable number.

10146005285 is a deficient number, since it is larger than the sum of its proper divisors (2982870475).

10146005285 is a wasteful number, since it uses less digits than its factorization.

10146005285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203768.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 10146005285 its reverse (58250064101), we get a palindrome (68396069386).

The spelling of 10146005285 in words is "ten billion, one hundred forty-six million, five thousand, two hundred eighty-five".

Divisors: 1 5 13 65 769 3845 9997 49985 202981 1014905 2638753 13193765 156092389 780461945 2029201057 10146005285