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461146220426412 = 2232372281151778111
BaseRepresentation
bin110100011011010001111100…
…0101010000111010010101100
32020110210010222222121100012200
41220312203320222013102230
5440420404424412121122
64312435352111101500
7166063500142635303
oct15066437052072254
92213703888540180
10461146220426412
11123a32017412204
1243879288211890
1316a40b958ac341
1481c384bc0343a
15384a7112e35ac
hex1a368f8a874ac

461146220426412 has 72 divisors (see below), whose sum is σ = 1197704759177472. Its totient is φ = 149495367225600.

The previous prime is 461146220426329. The next prime is 461146220426417. The reversal of 461146220426412 is 214624022641164.

461146220426412 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 4 + 6 + 2 + 204 + 26 + 412 = 666.

It is a super-2 number, since 2×4611462204264122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461146220426417) 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, 72850764 + ... + 78927347.

Almost surely, 2461146220426412 is an apocalyptic number.

It is an amenable number.

461146220426412 is an abundant number, since it is smaller than the sum of its proper divisors (736558538751060).

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

461146220426412 is a wasteful number, since it uses less digits than its factorization.

461146220426412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151780439 (or 151780434 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 461146220426412 in words is "four hundred sixty-one trillion, one hundred forty-six billion, two hundred twenty million, four hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2281 4562 6843 9124 13686 20529 27372 41058 82116 84397 168794 253191 337588 506382 759573 1012764 1519146 3038292 151778111 303556222 455334333 607112444 910668666 1366002999 1821337332 2732005998 5464011996 5615790107 11231580214 16847370321 22463160428 33694740642 50542110963 67389481284 101084221926 202168443852 346205871191 692411742382 1038617613573 1384823484764 2077235227146 3115852840719 4154470454292 6231705681438 12463411362876 12809617234067 25619234468134 38428851702201 51238468936268 76857703404402 115286555106603 153715406808804 230573110213206 461146220426412