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14535225064656 = 2432100939062949
BaseRepresentation
bin1101001110000011111011…
…1011010011110011010000
31220110112221211022100121100
43103200332323103303100
53401121120104032111
650525220141424400
73030064266342432
oct323407673236320
956415854270540
1014535225064656
1146a439968656a
12176903556b100
13815886b1743a
14383719a26652
151a316421c756
hexd383eed3cd0

14535225064656 has 30 divisors (see below), whose sum is σ = 40678442368850. Its totient is φ = 4845075021504.

The previous prime is 14535225064651. The next prime is 14535225064693. The reversal of 14535225064656 is 65646052253541.

14535225064656 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 522 + 5 + 0 + 64 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8904494721600 + 5630730343056 = 2984040^2 + 2372916^2 .

It is a super-3 number, since 3×145352250646563 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535225064651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50469531331 + ... + 50469531618.

Almost surely, 214535225064656 is an apocalyptic number.

14535225064656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14535225064656 is an abundant number, since it is smaller than the sum of its proper divisors (26143217304194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14535225064656 is a wasteful number, since it uses less digits than its factorization.

14535225064656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100939062963 (or 100939062954 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 14535225064656 in words is "fourteen trillion, five hundred thirty-five billion, two hundred twenty-five million, sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 100939062949 201878125898 302817188847 403756251796 605634377694 807512503592 908451566541 1211268755388 1615025007184 1816903133082 2422537510776 3633806266164 4845075021552 7267612532328 14535225064656