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464666361120225 = 345211196971059067
BaseRepresentation
bin110100110100111001001000…
…1011001001100010111100001
32020221020200002122100120210000
41221221302101121030113201
5441401043201421321400
64324132440202530213
7166606015413066015
oct15151622131142741
92227220078316700
10464666361120225
11125069996030780
1244147554206969
1316c37b081259c4
1482a5d86b8a545
1538ac089928600
hex1a69c9164c5e1

464666361120225 has 120 divisors (see below), whose sum is σ = 939018804137568. Its totient is φ = 225281130508800.

The previous prime is 464666361120149. The next prime is 464666361120271. The reversal of 464666361120225 is 522021163666464.

It is not a de Polignac number, because 464666361120225 - 213 = 464666361112033 is a prime.

It is a super-2 number, since 2×4646663611202252 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 438221142 + ... + 439280208.

Almost surely, 2464666361120225 is an apocalyptic number.

464666361120225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464666361120225 is an abundant number, since it is smaller than the sum of its proper divisors (474352443017343).

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

464666361120225 is a wasteful number, since it uses less digits than its factorization.

464666361120225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078797 (or 1078783 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 464666361120225 in words is "four hundred sixty-four trillion, six hundred sixty-six billion, three hundred sixty-one million, one hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 135 165 225 275 297 405 495 675 825 891 1485 2025 2475 4455 7425 19697 22275 59091 98485 177273 216667 295455 492425 531819 650001 886365 1059067 1083335 1477275 1595457 1950003 2659095 3177201 3250005 4431825 5295335 5416675 5850009 7977285 9531603 9750015 11649737 13295475 15886005 16250025 17550027 26476675 28594809 29250045 34949211 39886425 47658015 48750075 58248685 79430025 85784427 87750135 104847633 142974045 146250225 174746055 238290075 291243425 314542899 428922135 438750675 524238165 714870225 873730275 943628697 1572714495 2144610675 2621190825 4718143485 7863572475 20860442699 23590717425 62581328097 104302213495 187743984291 229464869689 312906640485 521511067475 563231952873 688394609067 938719921455 1147324348445 1564533202425 1689695858619 2065183827201 2816159764365 3441973045335 4693599607275 5736621742225 6195551481603 8448479293095 10325919136005 14080798821825 17209865226675 18586654444809 30977757408015 42242396465475 51629595680025 92933272224045 154888787040075 464666361120225