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1363511360340 = 223257575063113
BaseRepresentation
bin10011110101110111100…
…111000011101101010100
311211100110110011211211100
4103311313213003231110
5134314432402012330
62522215524310100
7200340040222263
oct23656747035524
94740413154740
101363511360340
11486297686248
121a0311242330
139b76a16aa2c
1449dcc5165da
1525704a7b060
hex13d779c3b54

1363511360340 has 36 divisors (see below), whose sum is σ = 4135984460244. Its totient is φ = 363603029376.

The previous prime is 1363511360339. The next prime is 1363511360357. The reversal of 1363511360340 is 430631153631.

1363511360340 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 5 + 1 + 1 + 3 + 603 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 536641223364 + 826870136976 = 732558^2 + 909324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1363511360295 and 1363511360304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3787531377 + ... + 3787531736.

It is an arithmetic number, because the mean of its divisors is an integer number (114888457229).

Almost surely, 21363511360340 is an apocalyptic number.

1363511360340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1363511360340 is an abundant number, since it is smaller than the sum of its proper divisors (2772473099904).

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

1363511360340 is a wasteful number, since it uses less digits than its factorization.

1363511360340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575063128 (or 7575063123 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1363511360340 in words is "one trillion, three hundred sixty-three billion, five hundred eleven million, three hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7575063113 15150126226 22725189339 30300252452 37875315565 45450378678 68175568017 75750631130 90900757356 113625946695 136351136034 151501262260 227251893390 272702272068 340877840085 454503786780 681755680170 1363511360340