Search a number
-
+
41195760161958 = 23213117470636201
BaseRepresentation
bin10010101110111101000101…
…01001101001010010100110
312101212021110100122000220100
421113132202221221102212
520344422404100140313
6223341023154244530
711451203224523643
oct1127364251512246
9171767410560810
1041195760161958
1112143029705086
124754020886746
1319ca98866885c
14a25c5789adca
154b68e25a9173
hex2577a2a694a6

41195760161958 has 24 divisors (see below), whose sum is σ = 89938835167896. Its totient is φ = 13627096236000.

The previous prime is 41195760161929. The next prime is 41195760161999. The reversal of 41195760161958 is 85916106759114.

41195760161958 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 5 + 7 + 6 + 0 + 1 + 619 + 5 + 8 = 666.

41195760161958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41195760161895 and 41195760161904.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8735315743 + ... + 8735320458.

It is an arithmetic number, because the mean of its divisors is an integer number (3747451465329).

Almost surely, 241195760161958 is an apocalyptic number.

41195760161958 is an abundant number, since it is smaller than the sum of its proper divisors (48743075005938).

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

41195760161958 is a wasteful number, since it uses less digits than its factorization.

41195760161958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470636340 (or 17470636337 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 41195760161958 in words is "forty-one trillion, one hundred ninety-five billion, seven hundred sixty million, one hundred sixty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 17470636201 34941272402 52411908603 104823817206 157235725809 314471451618 2288653342331 4577306684662 6865960026993 13731920053986 20597880080979 41195760161958