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146540011576068 = 2232111713721593659
BaseRepresentation
bin100001010100011100000001…
…010101011101101100000100
3201012212002101100211110121200
4201110130001111131230010
5123201402420430413233
61235355315120142500
742603111044333115
oct4124340125355404
9635762340743550
10146540011576068
11427682a7276430
1214528529467a30
13639c882494856
14282880824220c
1511e1c96ac9313
hex85470155db04

146540011576068 has 72 divisors (see below), whose sum is σ = 404118782427360. Its totient is φ = 44403470818560.

The previous prime is 146540011576067. The next prime is 146540011576069. The reversal of 146540011576068 is 860675110045641.

146540011576068 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 4 + 0 + 0 + 1 + 1 + 576 + 0 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (146540011576067) and next prime (146540011576069).

It is not an unprimeable number, because it can be changed into a prime (146540011576067) 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, 4010578 + ... + 17583081.

Almost surely, 2146540011576068 is an apocalyptic number.

146540011576068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146540011576068 is an abundant number, since it is smaller than the sum of its proper divisors (257578770851292).

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

146540011576068 is a wasteful number, since it uses less digits than its factorization.

146540011576068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610817 (or 21610812 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 146540011576068 in words is "one hundred forty-six trillion, five hundred forty billion, eleven million, five hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 17137 34274 51411 68548 102822 154233 188507 205644 308466 377014 565521 616932 754028 1131042 1696563 2262084 3393126 6786252 21593659 43187318 64780977 86374636 129561954 194342931 237530249 259123908 388685862 475060498 712590747 777371724 950120996 1425181494 2137772241 2850362988 4275544482 8551088964 370050534283 740101068566 1110151602849 1480202137132 2220303205698 3330454808547 4070555877113 4440606411396 6660909617094 8141111754226 12211667631339 13321819234188 16282223508452 24423335262678 36635002894017 48846670525356 73270005788034 146540011576068