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468265507975 = 52592801113341
BaseRepresentation
bin1101101000001101100…
…11001001110010000111
31122202200020011111010001
412310012303021302013
530133001432223400
6555041310542131
745555025100416
oct6640663116207
91582606144101
10468265507975
11170654742991
1276905207947
1335207620945
14189426b547d
15c2a9ae0a6a
hex6d06cc9c87

468265507975 has 24 divisors (see below), whose sum is σ = 590706768240. Its totient is φ = 368128320000.

The previous prime is 468265507951. The next prime is 468265507979. The reversal of 468265507975 is 579705562864.

It is not a de Polignac number, because 468265507975 - 27 = 468265507847 is a prime.

It is a super-3 number, since 3×4682655079753 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468265507979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4074805 + ... + 4188145.

It is an arithmetic number, because the mean of its divisors is an integer number (24612782010).

Almost surely, 2468265507975 is an apocalyptic number.

468265507975 is a deficient number, since it is larger than the sum of its proper divisors (122441260265).

468265507975 is a wasteful number, since it uses less digits than its factorization.

468265507975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116211 (or 116206 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

The spelling of 468265507975 in words is "four hundred sixty-eight billion, two hundred sixty-five million, five hundred seven thousand, nine hundred seventy-five".

Divisors: 1 5 25 59 295 1475 2801 14005 70025 113341 165259 566705 826295 2833525 4131475 6687119 33435595 167177975 317468141 1587340705 7936703525 18730620319 93653101595 468265507975