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61422011261226 = 232711269164743589
BaseRepresentation
bin11011111011100111011010…
…01010011010000100101010
322001110212221120110020102100
431331303231022122010222
531022314234340324401
6334344514334514230
715636410461265640
oct1575635512320452
9261425846406370
1061422011261226
1118630a240a7780
126a7bbb7365976
1328370bc74ac95
141124bac3b5190
15717ada317b86
hex37dced29a12a

61422011261226 has 96 divisors (see below), whose sum is σ = 166536000259200. Its totient is φ = 15894461370240.

The previous prime is 61422011261179. The next prime is 61422011261267. The reversal of 61422011261226 is 62216211022416.

61422011261226 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 2 + 0 + 1 + 12 + 612 + 26 = 666.

It is a super-2 number, since 2×614220112612262 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81998961 + ... + 82744628.

It is an arithmetic number, because the mean of its divisors is an integer number (1734750002700).

Almost surely, 261422011261226 is an apocalyptic number.

61422011261226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

61422011261226 is an abundant number, since it is smaller than the sum of its proper divisors (105113988997974).

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

61422011261226 is a wasteful number, since it uses less digits than its factorization.

61422011261226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164743884 (or 164743881 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 61422011261226 in words is "sixty-one trillion, four hundred twenty-two billion, eleven million, two hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 269 462 538 693 807 1386 1614 1883 2421 2959 3766 4842 5649 5918 8877 11298 16947 17754 20713 26631 33894 41426 53262 62139 124278 186417 372834 164743589 329487178 494230767 988461534 1153205123 1482692301 1812179479 2306410246 2965384602 3459615369 3624358958 5436538437 6919230738 10378846107 10873076874 12685256353 16309615311 20757692214 25370512706 32619230622 38055769059 44316025441 76111538118 88632050882 114167307177 132948076323 228334614354 265896152646 310212178087 398844228969 487476279851 620424356174 797688457938 930636534261 974952559702 1462428839553 1861273068522 2791909602783 2924857679106 3412333958957 4387286518659 5583819205566 6824667917914 8774573037318 10237001876871 20474003753742 30711005630613 61422011261226