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1352727507114 = 23479710477001
BaseRepresentation
bin10011101011110100110…
…101111011000010101010
311210022121220110100020000
4103223310311323002222
5134130341220211424
62513233501043430
7166505564044044
oct23536465730252
94708556410200
101352727507114
11481763459755
1219a201856576
139a73bc61ca9
144968822ca94
15252c2e853c9
hex13af4d7b0aa

1352727507114 has 40 divisors (see below), whose sum is σ = 3034915077348. Its totient is φ = 450343368000.

The previous prime is 1352727507073. The next prime is 1352727507203. The reversal of 1352727507114 is 4117057272531.

1352727507114 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 27 + 507 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1315414017225 + 37313489889 = 1146915^2 + 193167^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1352727507114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5109387 + ... + 5367614.

Almost surely, 21352727507114 is an apocalyptic number.

1352727507114 is an abundant number, since it is smaller than the sum of its proper divisors (1682187570234).

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

1352727507114 is a wasteful number, since it uses less digits than its factorization.

1352727507114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10477812 (or 10477803 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 1352727507114 in words is "one trillion, three hundred fifty-two billion, seven hundred twenty-seven million, five hundred seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 797 1594 2391 4782 7173 14346 21519 43038 64557 129114 10477001 20954002 31431003 62862006 94293009 188586018 282879027 565758054 848637081 1697274162 8350169797 16700339594 25050509391 50101018782 75151528173 150303056346 225454584519 450909169038 676363753557 1352727507114