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10144432766 = 2131920535289
BaseRepresentation
bin10010111001010011…
…11100001001111110
3222011222112120122002
421130221330021332
5131233433322031
64354342222302
7506250153506
oct113451741176
928158476562
1010144432766
1143362a4536
121b71424992
13c588ba350
146c33dca06
153e58dcccb
hex25ca7c27e

10144432766 has 16 divisors (see below), whose sum is σ = 17249643600. Its totient is φ = 4435622208.

The previous prime is 10144432703. The next prime is 10144432787. The reversal of 10144432766 is 66723444101.

It is a super-2 number, since 2×101444327662 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10267151 + ... + 10268138.

It is an arithmetic number, because the mean of its divisors is an integer number (1078102725).

Almost surely, 210144432766 is an apocalyptic number.

10144432766 is a deficient number, since it is larger than the sum of its proper divisors (7105210834).

10144432766 is a wasteful number, since it uses less digits than its factorization.

10144432766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20535323.

The product of its (nonzero) digits is 96768, while the sum is 38.

Adding to 10144432766 its reverse (66723444101), we get a palindrome (76867876867).

The spelling of 10144432766 in words is "ten billion, one hundred forty-four million, four hundred thirty-two thousand, seven hundred sixty-six".

Divisors: 1 2 13 19 26 38 247 494 20535289 41070578 266958757 390170491 533917514 780340982 5072216383 10144432766