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11476622641 = 11297392
BaseRepresentation
bin10101011000000111…
…10101110100110001
31002121211021211120211
422230003311310301
5142001003411031
65134451504121
7554254453141
oct125403656461
932554254524
1011476622641
11495a288500
1222835b8041
13110b8b5c93
147ac2dc921
1547283abb1
hex2ac0f5d31

11476622641 has 9 divisors (see below), whose sum is σ = 12616095513. Its totient is φ = 10432222020.

The previous prime is 11476622629. The next prime is 11476622653. The reversal of 11476622641 is 14622667411.

The square root of 11476622641 is 107129.

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

11476622641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11476622629) and next prime (11476622653).

It is not a de Polignac number, because 11476622641 - 217 = 11476491569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11476622594 and 11476622603.

It is not an unprimeable number, because it can be changed into a prime (11476622621) 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 8 ways as a sum of consecutive naturals, for example, 1173550 + ... + 1183288.

Almost surely, 211476622641 is an apocalyptic number.

11476622641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11476622641 is the 107129-th square number.

11476622641 is the 53565-th centered octagonal number.

It is an amenable number.

11476622641 is a deficient number, since it is larger than the sum of its proper divisors (1139472872).

11476622641 is an frugal number, since it uses more digits than its factorization.

11476622641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500 (or 9750 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 11476622641 in words is "eleven billion, four hundred seventy-six million, six hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 11 121 9739 107129 1178419 94848121 1043329331 11476622641