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10260706600 = 235251303533
BaseRepresentation
bin10011000111001010…
…11111010100101000
3222111002022220100101
421203211133110220
5132003220102400
64414054315144
7512161365334
oct114345372450
928432286311
1010260706600
1143959a0811
121ba4358ab4
13c76a0b231
146d4a287c4
15400c0956a
hex26395f528

10260706600 has 24 divisors (see below), whose sum is σ = 23856143310. Its totient is φ = 4104282560.

The previous prime is 10260706567. The next prime is 10260706613. The reversal of 10260706600 is 660706201.

10260706600 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 3 ways, for example, as 5491699236 + 4769007364 = 74106^2 + 69058^2 .

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 5 ways as a sum of consecutive naturals, for example, 25651567 + ... + 25651966.

Almost surely, 210260706600 is an apocalyptic number.

10260706600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10260706600 is an abundant number, since it is smaller than the sum of its proper divisors (13595436710).

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

10260706600 is a wasteful number, since it uses less digits than its factorization.

10260706600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51303549 (or 51303540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 10260706600 in words is "ten billion, two hundred sixty million, seven hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51303533 102607066 205214132 256517665 410428264 513035330 1026070660 1282588325 2052141320 2565176650 5130353300 10260706600