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41666979968 = 273111392927
BaseRepresentation
bin100110110011100010…
…111010100010000000
310222112211202220010022
4212303202322202000
51140313221324333
631050323553012
73003355325465
oct466342724200
9128484686108
1041666979968
1116741a18839
1280aa22b768
133c1053a343
142033b3966c
15113d016c98
hex9b38ba880

41666979968 has 64 divisors (see below), whose sum is σ = 86445342720. Its totient is φ = 19982807040.

The previous prime is 41666979961. The next prime is 41666979979. The reversal of 41666979968 is 86997966614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×416669799682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41666979961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401921 + ... + 494847.

It is an arithmetic number, because the mean of its divisors is an integer number (1350708480).

Almost surely, 241666979968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41666979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43222671360).

41666979968 is an abundant number, since it is smaller than the sum of its proper divisors (44778362752).

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

41666979968 is a wasteful number, since it uses less digits than its factorization.

41666979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93085 (or 93073 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 71.

The spelling of 41666979968 in words is "forty-one billion, six hundred sixty-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 128 226 248 452 496 904 992 1808 1984 3503 3616 3968 7006 7232 14012 14464 28024 56048 92927 112096 185854 224192 371708 448384 743416 1486832 2880737 2973664 5761474 5947328 10500751 11522948 11894656 21001502 23045896 42003004 46091792 84006008 92183584 168012016 184367168 325523281 336024032 368734336 651046562 672048064 1302093124 1344096128 2604186248 5208372496 10416744992 20833489984 41666979968