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11162909116836 = 22325568492
BaseRepresentation
bin1010001001110001000100…
…1110111000100110100100
31110112011102022220021101100
42202130101032320212210
52430343114213214321
635424100351200100
72231331202630611
oct242342116704644
943464368807340
1011162909116836
1136141881a8664
121303543816030
1362c8722a4289
142a8405595508
1514558d737326
hexa27113b89a4

11162909116836 has 27 divisors (see below), whose sum is σ = 28217404274241. Its totient is φ = 3720963023424.

The previous prime is 11162909116831. The next prime is 11162909116841. The reversal of 11162909116836 is 63861190926111.

The square root of 11162909116836 is 3341094.

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

11162909116836 is a `hidden beast` number, since 1 + 1 + 1 + 629 + 0 + 9 + 1 + 1 + 6 + 8 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11162909116831) and next prime (11162909116841).

It can be written as a sum of positive squares in only one way, i.e., 9540648374436 + 1622260742400 = 3088794^2 + 1273680^2 .

It is a super-2 number, since 2×111629091168362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11162909116831) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 19768140 + ... + 20324988.

Almost surely, 211162909116836 is an apocalyptic number.

11162909116836 is the 3341094-th square number.

It is an amenable number.

11162909116836 is an abundant number, since it is smaller than the sum of its proper divisors (17054495157405).

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

11162909116836 is an frugal number, since it uses more digits than its factorization.

11162909116836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113708 (or 556854 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11162909116836 in words is "eleven trillion, one hundred sixty-two billion, nine hundred nine million, one hundred sixteen thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 556849 1113698 1670547 2227396 3341094 5011641 6682188 10023282 20046564 310080808801 620161617602 930242426403 1240323235204 1860484852806 2790727279209 3720969705612 5581454558418 11162909116836