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41977954305 = 3257219037621
BaseRepresentation
bin100111000110000101…
…001100000000000001
311000100111221000201100
4213012011030000001
51141432324014210
631141233125013
73014152503300
oct470605140001
9130314830640
1041977954305
1116891508421
1281763b9769
133c5caab321
142063168437
15115a4925c0
hex9c614c001

41977954305 has 36 divisors (see below), whose sum is σ = 84641267412. Its totient is φ = 19189920960.

The previous prime is 41977954301. The next prime is 41977954321. The reversal of 41977954305 is 50345977914.

41977954305 is a `hidden beast` number, since 4 + 1 + 97 + 7 + 9 + 543 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11237696064 + 30740258241 = 106008^2 + 175329^2 .

It is not a de Polignac number, because 41977954305 - 22 = 41977954301 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41977954301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9516606 + ... + 9521015.

It is an arithmetic number, because the mean of its divisors is an integer number (2351146317).

Almost surely, 241977954305 is an apocalyptic number.

41977954305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41977954305 is an abundant number, since it is smaller than the sum of its proper divisors (42663313107).

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

41977954305 is a wasteful number, since it uses less digits than its factorization.

41977954305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19037646 (or 19037636 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 41977954305 in words is "forty-one billion, nine hundred seventy-seven million, nine hundred fifty-four thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 19037621 57112863 95188105 133263347 171338589 285564315 399790041 666316735 856692945 932843429 1199370123 1998950205 2798530287 4664217145 5996850615 8395590861 13992651435 41977954305