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464145646086 = 232233089362941
BaseRepresentation
bin1101100000100010011…
…11001000001000000110
31122101001002220211001200
412300101033020020012
530101032241133321
6553120420003330
745350650616313
oct6602117101006
91571032824050
10464145646086
11169930131751
1275b55530546
13349cbc23145
141867147dd0a
15c118090d26
hex6c113c8206

464145646086 has 48 divisors (see below), whose sum is σ = 1049715370080. Its totient is φ = 147940151040.

The previous prime is 464145646079. The next prime is 464145646087. The reversal of 464145646086 is 680646541464.

464145646086 is a `hidden beast` number, since 4 + 6 + 4 + 14 + 564 + 60 + 8 + 6 = 666.

It is a super-3 number, since 3×4641456460863 (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 (464145646087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097376 + ... + 1460316.

It is an arithmetic number, because the mean of its divisors is an integer number (21869070210).

Almost surely, 2464145646086 is an apocalyptic number.

464145646086 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

464145646086 is an abundant number, since it is smaller than the sum of its proper divisors (585569723994).

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

464145646086 is a wasteful number, since it uses less digits than its factorization.

464145646086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366061 (or 366058 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 464145646086 in words is "four hundred sixty-four billion, one hundred forty-five million, six hundred forty-six thousand, eighty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 3089 6178 9267 18534 27801 55602 71047 142094 213141 362941 426282 639423 725882 1088823 1278846 2177646 3266469 6532938 8347643 16695286 25042929 50085858 75128787 150257574 1121124749 2242249498 3363374247 6726748494 10090122741 20180245482 25785869227 51571738454 77357607681 154715215362 232072823043 464145646086