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11146734468 = 22321297238729
BaseRepresentation
bin10100110000110010…
…11010101110000100
31001202211112210002100
422120121122232010
5140312031000333
65042025112100
7543140452062
oct123031325604
931684483070
1011146734468
11480004a651
1221b1028630
13108845208c
1477a589032
154538c6213
hex29865ab84

11146734468 has 36 divisors (see below), whose sum is σ = 28198310140. Its totient is φ = 3712697856.

The previous prime is 11146734451. The next prime is 11146734479. The reversal of 11146734468 is 86443764111.

11146734468 is a `hidden beast` number, since 1 + 114 + 6 + 73 + 4 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9138977604 + 2007756864 = 95598^2 + 44808^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72673 + ... + 166056.

Almost surely, 211146734468 is an apocalyptic number.

11146734468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11146734468 is an abundant number, since it is smaller than the sum of its proper divisors (17051575672).

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

11146734468 is a wasteful number, since it uses less digits than its factorization.

11146734468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240036 (or 240031 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11146734468 in words is "eleven billion, one hundred forty-six million, seven hundred thirty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1297 2594 3891 5188 7782 11673 15564 23346 46692 238729 477458 716187 954916 1432374 2148561 2864748 4297122 8594244 309631513 619263026 928894539 1238526052 1857789078 2786683617 3715578156 5573367234 11146734468