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1351007305645 = 53492655729153
BaseRepresentation
bin10011101010001110010…
…011110111111110101101
311210011012000121001102111
4103222032103313332231
5134113330332240040
62512351051124021
7166415135423314
oct23521623677655
94704160531374
101351007305645
11480a60448948
12199a01743611
139a5267616ba
14495639a927b
1525221e40dea
hex13a8e4f7fad

1351007305645 has 16 divisors (see below), whose sum is σ = 1625971057200. Its totient is φ = 1077631432704.

The previous prime is 1351007305553. The next prime is 1351007305691. The reversal of 1351007305645 is 5465037001531.

It can be written as a sum of positive squares in 8 ways, for example, as 121066418916 + 1229940886729 = 347946^2 + 1109027^2 .

It is a cyclic number.

It is not a de Polignac number, because 1351007305645 - 227 = 1350873087917 is a prime.

It is a super-3 number, since 3×13510073056453 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1351007305598 and 1351007305607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46327389 + ... + 46356541.

It is an arithmetic number, because the mean of its divisors is an integer number (101623191075).

Almost surely, 21351007305645 is an apocalyptic number.

It is an amenable number.

1351007305645 is a deficient number, since it is larger than the sum of its proper divisors (274963751555).

1351007305645 is a wasteful number, since it uses less digits than its factorization.

1351007305645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56064.

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 1351007305645 in words is "one trillion, three hundred fifty-one billion, seven million, three hundred five thousand, six hundred forty-five".

Divisors: 1 5 349 1745 26557 29153 132785 145765 9268393 10174397 46341965 50871985 774216221 3871081105 270201461129 1351007305645