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40947666674985 = 325719232631131049
BaseRepresentation
bin10010100111101110111110…
…01000000110010100101001
312100222120002021222001222200
421103313133020012110221
520331341310132044420
6223031033130010413
711424241231631130
oct1123673710062451
9170876067861880
1040947666674985
1112057898375334
124713b22876a09
1319b046b580ba5
14a17c4036a917
154b0221d37b90
hex253ddf206529

40947666674985 has 192 divisors, whose sum is σ = 89435833344000. Its totient is φ = 16898182861824.

The previous prime is 40947666674933. The next prime is 40947666675001. The reversal of 40947666674985 is 58947666674904.

40947666674985 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 40947666674985 - 211 = 40947666672937 is a prime.

It is a super-2 number, since 2×409476666749852 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 35637741 + ... + 36768789.

It is an arithmetic number, because the mean of its divisors is an integer number (465811632000).

Almost surely, 240947666674985 is an apocalyptic number.

40947666674985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40947666674985 is an abundant number, since it is smaller than the sum of its proper divisors (48488166669015).

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

40947666674985 is a wasteful number, since it uses less digits than its factorization.

40947666674985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131372 (or 1131369 counting only the distinct ones).

The product of its (nonzero) digits is 13168189440, while the sum is 81.

Subtracting from 40947666674985 its sum of digits (81), we obtain a palindrome (40947666674904).

The spelling of 40947666674985 in words is "forty trillion, nine hundred forty-seven billion, six hundred sixty-six million, six hundred seventy-four thousand, nine hundred eighty-five".