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138462853816576 = 287354392
BaseRepresentation
bin11111011110111001100101…
…001101110110000100000000
3200011020220211100111202202101
4133132321211031312010000
5121122033411034112301
61210252542405400144
741110416411226462
oct3736714515660400
9604226740452671
10138462853816576
1140133848295513
1213643041709054
135c34cb6565403
1426298d04c6132
151101b0ae75701
hex7dee65376100

138462853816576 has 27 divisors (see below), whose sum is σ = 276385212920271. Its totient is φ = 69231332772096.

The previous prime is 138462853816519. The next prime is 138462853816577. The reversal of 138462853816576 is 675618358264831.

The square root of 138462853816576 is 11767024.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138462853816499 and 138462853816508.

It is not an unprimeable number, because it can be changed into a prime (138462853816577) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 187904665 + ... + 188640103.

Almost surely, 2138462853816576 is an apocalyptic number.

138462853816576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138462853816576 is the 11767024-th square number.

It is an amenable number.

138462853816576 is a deficient number, since it is larger than the sum of its proper divisors (137922359103695).

138462853816576 is an frugal number, since it uses more digits than its factorization.

138462853816576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470894 (or 735441 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 73.

The spelling of 138462853816576 in words is "one hundred thirty-eight trillion, four hundred sixty-two billion, eight hundred fifty-three million, eight hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 735439 1470878 2941756 5883512 11767024 23534048 47068096 94136192 188272384 540870522721 1081741045442 2163482090884 4326964181768 8653928363536 17307856727072 34615713454144 69231426908288 138462853816576