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10515307428 = 2232292091873
BaseRepresentation
bin10011100101100001…
…01101101110100100
31000010211101222000200
421302300231232210
5133013404314203
64455231310500
7521402431653
oct116260555644
930124358020
1010515307428
11450668711a
12205567b430
13cb76a1b02
1471a78119a
1541824b9a3
hex272c2dba4

10515307428 has 18 divisors (see below), whose sum is σ = 26580360534. Its totient is φ = 3505102464.

The previous prime is 10515307423. The next prime is 10515307549. The reversal of 10515307428 is 82470351501.

10515307428 is a `hidden beast` number, since 1 + 0 + 51 + 530 + 74 + 2 + 8 = 666.

10515307428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8955215424 + 1560092004 = 94632^2 + 39498^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105153074282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 292091873 = 10515307428 / (1 + 0 + 5 + 1 + 5 + 3 + 0 + 7 + 4 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 10515307392 and 10515307401.

It is not an unprimeable number, because it can be changed into a prime (10515307423) 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 5 ways as a sum of consecutive naturals, for example, 146045901 + ... + 146045972.

Almost surely, 210515307428 is an apocalyptic number.

10515307428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10515307428 is an abundant number, since it is smaller than the sum of its proper divisors (16065053106).

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

10515307428 is a wasteful number, since it uses less digits than its factorization.

10515307428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292091883 (or 292091878 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 10515307428 its reverse (82470351501), we get a palindrome (92985658929).

The spelling of 10515307428 in words is "ten billion, five hundred fifteen million, three hundred seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 292091873 584183746 876275619 1168367492 1752551238 2628826857 3505102476 5257653714 10515307428