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8495307038241 = 32732133092
BaseRepresentation
bin111101110011111011111…
…0000100001111000100001
31010002010212112221221211100
41323213313300201320201
52103141342100210431
630022405024505013
71534523425243422
oct173476760417041
933063775857740
108495307038241
112785926395041
12b5254517b169
134981476a688a
142152644c7649
15eaeb0a914e6
hex7b9f7c21e21

8495307038241 has 27 divisors (see below), whose sum is σ = 12442332497049. Its totient is φ = 5585535600192.

The previous prime is 8495307038201. The next prime is 8495307038263. The reversal of 8495307038241 is 1428307035948.

It is a happy number.

The square root of 8495307038241 is 2914671.

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

8495307038241 is a `hidden beast` number, since 8 + 4 + 9 + 530 + 70 + 38 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2962443380625 + 5532863657616 = 1721175^2 + 2352204^2 .

It is not a de Polignac number, because 8495307038241 - 211 = 8495307036193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8495307038201) 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, 638306295 + ... + 638319603.

Almost surely, 28495307038241 is an apocalyptic number.

8495307038241 is the 2914671-st square number.

8495307038241 is the 1457336-th centered octagonal number.

It is an amenable number.

8495307038241 is a deficient number, since it is larger than the sum of its proper divisors (3947025458808).

8495307038241 is an frugal number, since it uses more digits than its factorization.

8495307038241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26770 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8495307038241 in words is "eight trillion, four hundred ninety-five billion, three hundred seven million, thirty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 73 219 657 5329 13309 15987 39927 47961 119781 971557 2914671 8744013 70923661 177129481 212770983 531388443 638312949 1594165329 12930452113 38791356339 116374069017 943923004249 2831769012747 8495307038241