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41226872041047 = 37111009213183003
BaseRepresentation
bin10010101111110111000010…
…00100000010111001010111
312101222020202121010020122110
421113323201010002321113
520400430113220303142
6223403210310002103
711453354215242540
oct1127734104027127
9171866677106573
1041226872041047
1112155244537350
12475a064046333
131a008a61b0574
14a275698574c7
154b7613b1399c
hex257ee1102e57

41226872041047 has 64 divisors (see below), whose sum is σ = 68633922539520. Its totient is φ = 21385033689600.

The previous prime is 41226872041021. The next prime is 41226872041049. The reversal of 41226872041047 is 74014027862214.

41226872041047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41226872041047 - 27 = 41226872040919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41226872040987 and 41226872041005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41226872041049) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 496649848 + ... + 496732850.

It is an arithmetic number, because the mean of its divisors is an integer number (1072405039680).

Almost surely, 241226872041047 is an apocalyptic number.

41226872041047 is a deficient number, since it is larger than the sum of its proper divisors (27407050498473).

41226872041047 is a wasteful number, since it uses less digits than its factorization.

41226872041047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86164.

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 41226872041047 in words is "forty-one trillion, two hundred twenty-six billion, eight hundred seventy-two million, forty-one thousand, forty-seven".

Divisors: 1 3 7 11 21 33 77 231 1009 2131 3027 6393 7063 11099 14917 21189 23441 33297 44751 70323 77693 83003 164087 233079 249009 492261 581021 913033 1743063 2150179 2739099 6391231 6450537 15051253 19173693 23651969 45153759 70955907 83750027 165563783 176879393 251250081 496691349 530638179 586250189 921250297 1238155751 1758750567 1945673323 2763750891 3714467253 5837019969 6448752079 13619713261 19346256237 40859139783 178471307537 535413922611 1249299152759 1963184382907 3747897458277 5889553148721 13742290680349 41226872041047