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40566079012968 = 233229371274134539
BaseRepresentation
bin10010011100101000001101…
…01110101100000001101000
312022122002010210110101101200
421032110012232230001220
520304113312211403333
6222135444402044200
711354542153211565
oct1116240656540150
9168562123411350
1040566079012968
1111a1aa83057a93
124671b89949660
1319834987144c2
14a035a168b86c
154a533bae6c13
hex24e506bac068

40566079012968 has 192 divisors, whose sum is σ = 117645854976000. Its totient is φ = 12602865655296.

The previous prime is 40566079012961. The next prime is 40566079012973. The reversal of 40566079012968 is 86921097066504.

40566079012968 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 607 + 9 + 0 + 12 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×405660790129682 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40566079012961) 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 47 ways as a sum of consecutive naturals, for example, 7744243 + ... + 11878781.

It is an arithmetic number, because the mean of its divisors is an integer number (612738828000).

Almost surely, 240566079012968 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 40566079012968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58822927488000).

40566079012968 is an abundant number, since it is smaller than the sum of its proper divisors (77079775963032).

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

40566079012968 is a wasteful number, since it uses less digits than its factorization.

40566079012968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134744 (or 4134737 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 40566079012968 in words is "forty trillion, five hundred sixty-six billion, seventy-nine million, twelve thousand, nine hundred sixty-eight".