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1345062511413 = 32379757772169
BaseRepresentation
bin10011100100101011111…
…110010010001100110101
311202120211201102012211100
4103210223332102030311
5134014142000331123
62505525125400313
7166114621463565
oct23445376221465
94676751365740
101345062511413
1147948a7a3a65
12198822869099
1399ab9c5468a
144915c24ada5
1524ec50b0643
hex1392bf92335

1345062511413 has 48 divisors (see below), whose sum is σ = 2019470755120. Its totient is φ = 861969973248.

The previous prime is 1345062511391. The next prime is 1345062511427. The reversal of 1345062511413 is 3141152605431.

1345062511413 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 0 + 625 + 1 + 14 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 105899478084 + 1239163033329 = 325422^2 + 1113177^2 .

It is not a de Polignac number, because 1345062511413 - 29 = 1345062510901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345062511493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18601593 + ... + 18673761.

Almost surely, 21345062511413 is an apocalyptic number.

It is an amenable number.

1345062511413 is a deficient number, since it is larger than the sum of its proper divisors (674408243707).

1345062511413 is a wasteful number, since it uses less digits than its factorization.

1345062511413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72886 (or 72883 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1345062511413 in words is "one trillion, three hundred forty-five billion, sixty-two million, five hundred eleven thousand, four hundred thirteen".

Divisors: 1 3 9 37 97 111 291 333 577 873 1731 3589 5193 10767 21349 32301 55969 64047 72169 167907 192141 216507 503721 649521 2070853 2670253 6212559 7000393 8010759 18637677 21001179 24032277 41641513 63003537 124924539 259014541 374773617 777043623 1540735981 2331130869 4039226761 4622207943 12117680283 13866623829 36353040849 149451390157 448354170471 1345062511413