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12442011717577 = 1323291434899287
BaseRepresentation
bin1011010100001110000110…
…1100000100111111001001
31122001110000012002212000011
42311003201230010333021
53112322214444430302
642243440431111521
72422622435431111
oct265034154047711
948043005085004
1012442011717577
113a6769a285452
12148b4186725a1
136c3379acb0c0
143102a75b8041
151689a2c2a5d7
hexb50e1b04fc9

12442011717577 has 16 divisors (see below), whose sum is σ = 14463784823040. Its totient is φ = 10606775522112.

The previous prime is 12442011717571. The next prime is 12442011717637. The reversal of 12442011717577 is 77571711024421.

It is a cyclic number.

It is not a de Polignac number, because 12442011717577 - 219 = 12442011193289 is a prime.

It is a super-2 number, since 2×124420117175772 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12442011717577.

It is not an unprimeable number, because it can be changed into a prime (12442011717571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717440973 + ... + 717458314.

It is an arithmetic number, because the mean of its divisors is an integer number (903986551440).

Almost surely, 212442011717577 is an apocalyptic number.

It is an amenable number.

12442011717577 is a deficient number, since it is larger than the sum of its proper divisors (2021773105463).

12442011717577 is a wasteful number, since it uses less digits than its factorization.

12442011717577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434899352.

The product of its (nonzero) digits is 768320, while the sum is 49.

The spelling of 12442011717577 in words is "twelve trillion, four hundred forty-two billion, eleven million, seven hundred seventeen thousand, five hundred seventy-seven".

Divisors: 1 13 23 29 299 377 667 8671 1434899287 18653690731 33002683601 41612079323 429034886813 540957031199 957077824429 12442011717577