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10506645812 = 22131949103669
BaseRepresentation
bin10011100100011111…
…01011000100110100
31000010020002220112002
421302033223010310
5133004200131222
64454321514432
7521236005305
oct116217530464
930106086462
1010506645812
114501800563
1220527a2a18
13cb595b4b0
147195687ac
154175da392
hex2723eb134

10506645812 has 24 divisors (see below), whose sum is σ = 19811337000. Its totient is φ = 4846686336.

The previous prime is 10506645791. The next prime is 10506645823. The reversal of 10506645812 is 21854660501.

It is a happy number.

10506645812 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 2246380816 + 8260264996 = 47396^2 + 90886^2 .

It is a super-2 number, since 2×105066458122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 49514 + ... + 153182.

It is an arithmetic number, because the mean of its divisors is an integer number (825472375).

Almost surely, 210506645812 is an apocalyptic number.

It is an amenable number.

10506645812 is a deficient number, since it is larger than the sum of its proper divisors (9304691188).

10506645812 is a wasteful number, since it uses less digits than its factorization.

10506645812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105635 (or 105633 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10506645812 in words is "ten billion, five hundred six million, six hundred forty-five thousand, eight hundred twelve".

Divisors: 1 2 4 13 26 52 1949 3898 7796 25337 50674 101348 103669 207338 414676 1347697 2695394 5390788 202050881 404101762 808203524 2626661453 5253322906 10506645812