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1352506720765 = 52957787718433
BaseRepresentation
bin10011101011100111101…
…011101100000111111101
311210022001112000020021211
4103223213223230013331
5134124413210031030
62513155532524421
7166500243304054
oct23534753540775
94708045006254
101352506720765
1148165a8696a2
1219a15b920711
139a7052aa695
1449666b9939b
15252ad8c212a
hex13ae7aec1fd

1352506720765 has 32 divisors (see below), whose sum is σ = 1683892810080. Its totient is φ = 1041638621184.

The previous prime is 1352506720727. The next prime is 1352506720777. The reversal of 1352506720765 is 5670276052531.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 19262386521 + 1333244334244 = 138789^2 + 1154662^2 .

It is a cyclic number.

It is not a de Polignac number, because 1352506720765 - 225 = 1352473166333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73364989 + ... + 73383421.

It is an arithmetic number, because the mean of its divisors is an integer number (52621650315).

Almost surely, 21352506720765 is an apocalyptic number.

It is an amenable number.

1352506720765 is a deficient number, since it is larger than the sum of its proper divisors (331386089315).

1352506720765 is a wasteful number, since it uses less digits than its factorization.

1352506720765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19921.

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 1352506720765 in words is "one trillion, three hundred fifty-two billion, five hundred six million, seven hundred twenty thousand, seven hundred sixty-five".

Divisors: 1 5 29 145 577 877 2885 4385 16733 18433 25433 83665 92165 127165 506029 534557 2530145 2672785 10635841 14674841 16165741 53179205 73374205 80828705 308439389 468806489 1542196945 2344032445 9327632557 46638162785 270501344153 1352506720765