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84068892250281 = 321249224472
BaseRepresentation
bin10011000111010111010000…
…011101011001000010101001
3102000122220111122110122111100
4103013113100131121002221
542004341042404002111
6454444414350352013
723464530343442211
oct2307272035310251
9360586448418440
1084068892250281
1124872465005044
129519145abb609
1337ba87c740093
1416a8d55751241
159abc58b3c756
hex4c75d07590a9

84068892250281 has 27 divisors (see below), whose sum is σ = 121579831509591. Its totient is φ = 55978169929344.

The previous prime is 84068892250241. The next prime is 84068892250309. The reversal of 84068892250281 is 18205229886048.

The square root of 84068892250281 is 9168909.

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

84068892250281 is a `hidden beast` number, since 8 + 40 + 6 + 8 + 8 + 9 + 2 + 2 + 502 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34403609280681 + 49665282969600 = 5865459^2 + 7047360^2 .

It is a de Polignac number, because none of the positive numbers 2k-84068892250281 is a prime.

It is a super-2 number, since 2×840688922502812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84068892250201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34355900800 + ... + 34355903246.

Almost surely, 284068892250281 is an apocalyptic number.

84068892250281 is the 9168909-th square number.

84068892250281 is the 4584455-th centered octagonal number.

It is an amenable number.

84068892250281 is a deficient number, since it is larger than the sum of its proper divisors (37510939259310).

84068892250281 is an frugal number, since it uses more digits than its factorization.

84068892250281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 84068892250281 in words is "eighty-four trillion, sixty-eight billion, eight hundred ninety-two million, two hundred fifty thousand, two hundred eighty-one".

Divisors: 1 3 9 1249 2447 3747 7341 11241 22023 1560001 3056303 4680003 5987809 9168909 14040009 17963427 27506727 53890281 3817322447 7478773441 11451967341 22436320323 34355902023 67308960969 9340988027809 28022964083427 84068892250281