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10926311841 = 32348432
BaseRepresentation
bin10100010110100001…
…00100100110100001
31001012110210011002100
422023100210212201
5134334113434331
65004112441013
7534523055364
oct121320444641
931173704070
1010926311841
1146a7688895
12214b249169
1310518971a3
147591ac0db
1543e385ae6
hex28b4249a1

10926311841 has 9 divisors (see below), whose sum is σ = 15782903409. Its totient is φ = 7283998836.

The previous prime is 10926311821. The next prime is 10926311849. The reversal of 10926311841 is 14811362901.

The square root of 10926311841 is 104529.

It is a perfect power (a square), and thus also a powerful number.

10926311841 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 631 + 18 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10926311841 - 221 = 10924214689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10926311796 and 10926311805.

It is not an unprimeable number, because it can be changed into a prime (10926311849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 296166 + ... + 331008.

Almost surely, 210926311841 is an apocalyptic number.

10926311841 is the 104529-th square number.

10926311841 is the 52265-th centered octagonal number.

It is an amenable number.

10926311841 is a deficient number, since it is larger than the sum of its proper divisors (4856591568).

10926311841 is an frugal number, since it uses more digits than its factorization.

10926311841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69692 (or 34846 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 10926311841 by its sum of digits (36), we get a square (393347226276 = 6271742).

It can be divided in two parts, 109263 and 11841, that added together give a square (121104 = 3482).

The spelling of 10926311841 in words is "ten billion, nine hundred twenty-six million, three hundred eleven thousand, eight hundred forty-one".

Divisors: 1 3 9 34843 104529 313587 1214034649 3642103947 10926311841