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1327260676624 = 24149219332
BaseRepresentation
bin10011010100000110111…
…001101011001000010000
311200212220002010022100221
4103110012321223020100
5133221212213122444
62453422442322424
7164614520414611
oct23240671531020
94625802108327
101327260676624
11471985061003
12195294ab9414
1398210ab821c
144834dc85c08
15247d22eca84
hex13506e6b210

1327260676624 has 45 divisors (see below), whose sum is σ = 2590282266663. Its totient is φ = 658835431296.

The previous prime is 1327260676619. The next prime is 1327260676669. The reversal of 1327260676624 is 4266760627231.

It is a happy number.

The square root of 1327260676624 is 1152068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 81876099600 + 1245384577024 = 286140^2 + 1115968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686631562 + ... + 686633494.

Almost surely, 21327260676624 is an apocalyptic number.

1327260676624 is the 1152068-th square number.

It is an amenable number.

1327260676624 is a deficient number, since it is larger than the sum of its proper divisors (1263021590039).

1327260676624 is an frugal number, since it uses more digits than its factorization.

1327260676624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 1327260676624 in words is "one trillion, three hundred twenty-seven billion, two hundred sixty million, six hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 149 298 596 1192 1933 2384 3866 7732 15464 22201 30928 44402 88804 177608 288017 355216 576034 1152068 2304136 3736489 4608272 7472978 14945956 29891912 42914533 59783824 85829066 171658132 343316264 556736861 686632528 1113473722 2226947444 4453894888 8907789776 82953792289 165907584578 331815169156 663630338312 1327260676624