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12893087639439 = 32717113797133669
BaseRepresentation
bin1011101110011110011111…
…1010001010011110001111
31200122120022110000212221200
42323213213322022132033
53142220020413430224
643231000325400543
72500331505465240
oct273474772123617
950576273025850
1012893087639439
114120a22939917
121542924b69153
13726a750793c7
14328058d3ccc7
151755a36955c9
hexbb9e7e8a78f

12893087639439 has 96 divisors (see below), whose sum is σ = 22763945393280. Its totient is φ = 6864059252736.

The previous prime is 12893087639381. The next prime is 12893087639459. The reversal of 12893087639439 is 93493678039821.

12893087639439 is a `hidden beast` number, since 1 + 2 + 8 + 93 + 0 + 8 + 76 + 39 + 439 = 666.

It is not a de Polignac number, because 12893087639439 - 213 = 12893087631247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893087639459) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96388497 + ... + 96522165.

It is an arithmetic number, because the mean of its divisors is an integer number (237124431180).

Almost surely, 212893087639439 is an apocalyptic number.

12893087639439 is a deficient number, since it is larger than the sum of its proper divisors (9870857753841).

12893087639439 is a wasteful number, since it uses less digits than its factorization.

12893087639439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134609 (or 134606 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 12893087639439 in words is "twelve trillion, eight hundred ninety-three billion, eighty-seven million, six hundred thirty-nine thousand, four hundred thirty-nine".

Divisors: 1 3 7 9 17 21 51 63 113 119 153 339 357 791 797 1017 1071 1921 2373 2391 5579 5763 7119 7173 13447 13549 16737 17289 40341 40647 50211 90061 94843 121023 121941 133669 270183 284529 401007 630427 810549 853587 935683 1203021 1531037 1891281 2272373 2807049 4593111 5673843 6817119 8421147 10717259 13779333 15104597 15906611 20451357 32151777 45313791 47719833 96455331 105732179 106534193 135941373 143159499 256778149 317196537 319602579 745739351 770334447 951589611 958807737 1797447043 1811081281 2237218053 2311003341 5392341129 5433243843 6711654159 12038363809 12677568967 16177023387 16299731529 36115091427 38032706901 84268546663 108345274281 114098120703 204652184753 252805639989 613956554259 758416919967 1432565293271 1841869662777 4297695879813 12893087639439