Search a number
-
+
10632766126 = 27278538573
BaseRepresentation
bin10011110011100001…
…10010001010101110
31000110000102111001211
421321300302022232
5133233442004001
64515025025034
7524330010103
oct117160621256
930400374054
1010632766126
114566a12624
122088a8517a
131005b190b8
1472c1d8aaa
154236ee351
hex279c322ae

10632766126 has 16 divisors (see below), whose sum is σ = 15991676064. Its totient is φ = 5302227744.

The previous prime is 10632766087. The next prime is 10632766129. The reversal of 10632766126 is 62166723601.

10632766126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106327661262 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632766129) 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, 1235976 + ... + 1244548.

It is an arithmetic number, because the mean of its divisors is an integer number (999479754).

Almost surely, 210632766126 is an apocalyptic number.

10632766126 is a deficient number, since it is larger than the sum of its proper divisors (5358909938).

10632766126 is an equidigital number, since it uses as much as digits as its factorization.

10632766126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 10632766126 in words is "ten billion, six hundred thirty-two million, seven hundred sixty-six thousand, one hundred twenty-six".

Divisors: 1 2 727 853 1454 1706 8573 17146 620131 1240262 6232571 7312769 12465142 14625538 5316383063 10632766126