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10354351642 = 241257491333
BaseRepresentation
bin10011010010010101…
…01101111000011010
3222201121112120012021
421221022231320122
5132201203223032
64431241405054
7514406352055
oct115112557032
928647476167
1010354351642
114433841708
12200b79978a
13c902382bb
14703243a9c
15409056097
hex2692ade1a

10354351642 has 16 divisors (see below), whose sum is σ = 15972285672. Its totient is φ = 5031239680.

The previous prime is 10354351613. The next prime is 10354351643. The reversal of 10354351642 is 24615345301.

10354351642 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 4 ways, for example, as 7473775401 + 2880576241 = 86451^2 + 53671^2 .

It is a super-3 number, since 3×103543516423 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10354351598 and 10354351607.

It is not an unprimeable number, because it can be changed into a prime (10354351643) 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 7 ways as a sum of consecutive naturals, for example, 224593 + ... + 266740.

Almost surely, 210354351642 is an apocalyptic number.

10354351642 is a deficient number, since it is larger than the sum of its proper divisors (5617934030).

10354351642 is a wasteful number, since it uses less digits than its factorization.

10354351642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491633.

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 10354351642 its reverse (24615345301), we get a palindrome (34969696943).

The spelling of 10354351642 in words is "ten billion, three hundred fifty-four million, three hundred fifty-one thousand, six hundred forty-two".

Divisors: 1 2 41 82 257 514 10537 21074 491333 982666 20144653 40289306 126272581 252545162 5177175821 10354351642