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10144432610 = 2513174590241
BaseRepresentation
bin10010111001010011…
…11100000111100010
3222011222112120102022
421130221330013202
5131233433320420
64354342221442
7506250153164
oct113451740742
928158476368
1010144432610
1143362a4404
121b71424882
13c588ba260
146c33dc934
153e58dcc25
hex25ca7c1e2

10144432610 has 32 divisors (see below), whose sum is σ = 20821337712. Its totient is φ = 3525304320.

The previous prime is 10144432583. The next prime is 10144432651. The reversal of 10144432610 is 1623444101.

It is a happy number.

10144432610 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 8 ways, for example, as 6686169361 + 3458263249 = 81769^2 + 58807^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10144432610.

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 15 ways as a sum of consecutive naturals, for example, 2292911 + ... + 2297330.

Almost surely, 210144432610 is an apocalyptic number.

10144432610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10144432610 is an abundant number, since it is smaller than the sum of its proper divisors (10676905102).

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

10144432610 is a wasteful number, since it uses less digits than its factorization.

10144432610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590278.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10144432610 its reverse (1623444101), we get a palindrome (11767876711).

The spelling of 10144432610 in words is "ten billion, one hundred forty-four million, four hundred thirty-two thousand, six hundred ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 4590241 9180482 22951205 45902410 59673133 78034097 119346266 156068194 298365665 390170485 596731330 780340970 1014443261 2028886522 5072216305 10144432610