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11254300596049 = 72412116892
BaseRepresentation
bin1010001111000101100010…
…0101101101011101010001
31110211220022120002110010211
42203301120211231131101
52433342301423033144
635534053155524121
72241045026451100
oct243613045553521
943756276073124
1011254300596049
113649a16318675
1213191aa5b9641
13638378480824
142ac9d51c8037
15147b3bd24034
hexa3c5896d751

11254300596049 has 27 divisors (see below), whose sum is σ = 13419984248721. Its totient is φ = 9410456684160.

The previous prime is 11254300596043. The next prime is 11254300596067. The reversal of 11254300596049 is 94069500345211.

The square root of 11254300596049 is 3354743.

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

11254300596049 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 4 ways, for example, as 185637754449 + 11068662841600 = 430857^2 + 3326960^2 .

It is not a de Polignac number, because 11254300596049 - 25 = 11254300596017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11254300595993 and 11254300596011.

It is not an unprimeable number, because it can be changed into a prime (11254300596043) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 962805397 + ... + 962817085.

Almost surely, 211254300596049 is an apocalyptic number.

11254300596049 is the 3354743-rd square number.

11254300596049 is the 1677372-nd centered octagonal number.

It is an amenable number.

11254300596049 is a deficient number, since it is larger than the sum of its proper divisors (2165683652672).

11254300596049 is an frugal number, since it uses more digits than its factorization.

11254300596049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23474 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 11254300596049 by its sum of digits (49), we get a square (551460729206401 = 234832012).

11254300596049 divided by its sum of digits (49) gives a square (229679604001 = 4792492).

The spelling of 11254300596049 in words is "eleven trillion, two hundred fifty-four billion, three hundred million, five hundred ninety-six thousand, forty-nine".

Divisors: 1 7 41 49 287 1681 2009 11689 11767 81823 82369 479249 572761 3354743 19649209 23483201 136632721 137544463 956429047 962811241 5601941561 6695003329 39213590927 229679604001 274495136489 1607757228007 11254300596049