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1053242747733 = 311173761831829
BaseRepresentation
bin11110101001110100010…
…10001110101101010101
310201200121022001020201210
433110322022032231111
5114224020120411413
62123504131212033
7136044223432551
oct17247212165525
93650538036653
101053242747733
11376750089350
12150160a47019
1378421ac34b7
1438d976cc861
151c5e5b503c3
hexf53a28eb55

1053242747733 has 64 divisors (see below), whose sum is σ = 1693259838720. Its totient is φ = 574959513600.

The previous prime is 1053242747723. The next prime is 1053242747741. The reversal of 1053242747733 is 3377472423501.

It is not a de Polignac number, because 1053242747733 - 226 = 1053175638869 is a prime.

It is a super-3 number, since 3×10532427477333 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053242747723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850263 + ... + 1682091.

It is an arithmetic number, because the mean of its divisors is an integer number (26457184980).

Almost surely, 21053242747733 is an apocalyptic number.

It is an amenable number.

1053242747733 is a deficient number, since it is larger than the sum of its proper divisors (640017090987).

1053242747733 is a wasteful number, since it uses less digits than its factorization.

1053242747733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831958.

The product of its (nonzero) digits is 2963520, while the sum is 48.

The spelling of 1053242747733 in words is "one trillion, fifty-three billion, two hundred forty-two million, seven hundred forty-seven thousand, seven hundred thirty-three".

Divisors: 1 3 11 17 33 37 51 61 111 183 187 407 561 629 671 1037 1221 1887 2013 2257 3111 6771 6919 11407 20757 24827 34221 38369 74481 115107 422059 831829 1266177 2495487 9150119 14141093 27450357 30777673 42423279 50741569 92333019 152224707 155552023 338554403 466656069 523220441 558157259 862606673 1015663209 1569661323 1674471777 1877438053 2587820019 5632314159 5755424851 9488673403 17266274553 20651818583 28466020209 31916446901 61955455749 95749340703 351080915911 1053242747733