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13825022118887 = 761127973926177
BaseRepresentation
bin1100100100101110001110…
…0010000100101111100111
31210221122210120011121111002
43021023203202010233213
53303002121130301022
645223043311503515
72624552636040350
oct311134342045747
953848716147432
1013825022118887
114450182628791
12167346bb27b9b
13793903913ca5
1435b1c5650d27
1518e94956a092
hexc92e3884be7

13825022118887 has 32 divisors (see below), whose sum is σ = 16187771535360. Its totient is φ = 11562349639680.

The previous prime is 13825022118833. The next prime is 13825022118889. The reversal of 13825022118887 is 78881122052831.

13825022118887 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13825022118887 - 212 = 13825022114791 is a prime.

It is a super-2 number, since 2×138250221188872 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825022118889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528123143 + ... + 528149319.

It is an arithmetic number, because the mean of its divisors is an integer number (505867860480).

Almost surely, 213825022118887 is an apocalyptic number.

13825022118887 is a deficient number, since it is larger than the sum of its proper divisors (2362749416473).

13825022118887 is a wasteful number, since it uses less digits than its factorization.

13825022118887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36111.

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 13825022118887 in words is "thirteen trillion, eight hundred twenty-five billion, twenty-two million, one hundred eighteen thousand, eight hundred eighty-seven".

Divisors: 1 7 61 127 427 889 7747 9739 26177 54229 68173 183239 594079 1236853 1596797 3324479 4158553 8657971 11177579 23271353 75448033 202793219 254937803 528136231 1419552533 1784564621 15551205983 32377100981 108858441881 226639706867 1975003159841 13825022118887