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11225419856208 = 243277954304557
BaseRepresentation
bin1010001101011001111100…
…1010011011100101010000
31110202010202210212212001200
42203112133022123211100
52432404124440344313
635512515305231200
72236003240303305
oct243263712334520
943663683785050
1011225419856208
113638745954338
12131368a492500
13635724c50b5c
142ab4556930ac
15146eeb5d7b73
hexa359f29b950

11225419856208 has 30 divisors (see below), whose sum is σ = 31415584736874. Its totient is φ = 3741806618688.

The previous prime is 11225419856179. The next prime is 11225419856213. The reversal of 11225419856208 is 80265891452211.

It is a happy number.

11225419856208 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 5 + 4 + 1 + 9 + 8 + 5 + 620 + 8 = 666.

11225419856208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7658126398224 + 3567293457984 = 2767332^2 + 1888728^2 .

It is a super-2 number, since 2×112254198562082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38977152135 + ... + 38977152422.

Almost surely, 211225419856208 is an apocalyptic number.

11225419856208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11225419856208 is an abundant number, since it is smaller than the sum of its proper divisors (20190164880666).

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

11225419856208 is a wasteful number, since it uses less digits than its factorization.

11225419856208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77954304571 (or 77954304562 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 11225419856208 in words is "eleven trillion, two hundred twenty-five billion, four hundred nineteen million, eight hundred fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 77954304557 155908609114 233862913671 311817218228 467725827342 623634436456 701588741013 935451654684 1247268872912 1403177482026 1870903309368 2806354964052 3741806618736 5612709928104 11225419856208