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61220230441326 = 232112632186353773
BaseRepresentation
bin11011110101101111100100…
…00101101010100101101110
322000202121010010020112021100
431322313302011222211232
531011013012443110301
6334112104031343530
715616005244520115
oct1572676205524556
9260677103215240
1061220230441326
11185633990921a0
126a48a83381ba6
1328210734c5c28
1411191099b0c7c
1571272a878286
hex37adf216a96e

61220230441326 has 96 divisors (see below), whose sum is σ = 145261907062272. Its totient is φ = 18479857654080.

The previous prime is 61220230441297. The next prime is 61220230441361. The reversal of 61220230441326 is 62314403202216.

61220230441326 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 0 + 230 + 4 + 413 + 2 + 6 = 666.

It is a congruent number.

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, 1138466976 + ... + 1138520748.

It is an arithmetic number, because the mean of its divisors is an integer number (1513144865232).

Almost surely, 261220230441326 is an apocalyptic number.

61220230441326 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61220230441326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72630953531136).

61220230441326 is an abundant number, since it is smaller than the sum of its proper divisors (84041676620946).

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

61220230441326 is a wasteful number, since it uses less digits than its factorization.

61220230441326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75918 (or 75915 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 61220230441326 in words is "sixty-one trillion, two hundred twenty billion, two hundred thirty million, four hundred forty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 263 526 789 1578 2367 2893 4734 5786 8679 17358 21863 26037 43726 52074 53773 65589 107546 131178 161319 196767 240493 322638 393534 480986 483957 591503 721479 967914 1183006 1442958 1774509 2164437 3549018 4328874 5323527 5749969 10647054 11499938 14142299 17249907 28284598 34499814 42426897 51749721 63249659 84853794 103499442 126499318 127280691 155565289 189748977 254561382 311130578 379497954 466695867 569246931 933391734 1138493862 1175639099 1400087601 2351278198 2800175202 3526917297 7053834594 10580751891 12932030089 21161503782 25864060178 38796090267 77592180534 116388270801 232776541602 309193083037 618386166074 927579249111 1855158498222 2782737747333 3401123913407 5565475494666 6802247826814 10203371740221 20406743480442 30610115220663 61220230441326