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1361138058 = 232710802683
BaseRepresentation
bin101000100100001…
…0101000110001010
310111212012222101200
41101020111012022
510241422404213
6343021525030
745505324350
oct12110250612
93455188350
101361138058
11639366195
1231ba13776
13188cc2c47
14ccab77d0
157e76a273
hex5121518a

1361138058 has 24 divisors (see below), whose sum is σ = 3370437408. Its totient is φ = 388896552.

The previous prime is 1361138057. The next prime is 1361138063. The reversal of 1361138058 is 8508311631.

1361138058 is a `hidden beast` number, since 1 + 3 + 611 + 38 + 0 + 5 + 8 = 666.

It is a super-3 number, since 3×13611380583 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1361138057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401216 + ... + 5401467.

It is an arithmetic number, because the mean of its divisors is an integer number (140434892).

Almost surely, 21361138058 is an apocalyptic number.

1361138058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1361138058 is an abundant number, since it is smaller than the sum of its proper divisors (2009299350).

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

1361138058 is a wasteful number, since it uses less digits than its factorization.

1361138058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802698 (or 10802695 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1361138058 is about 36893.6045677296. The cubic root of 1361138058 is about 1108.2406069723.

Adding to 1361138058 its reverse (8508311631), we get a palindrome (9869449689).

The spelling of 1361138058 in words is "one billion, three hundred sixty-one million, one hundred thirty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 10802683 21605366 32408049 64816098 75618781 97224147 151237562 194448294 226856343 453712686 680569029 1361138058