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41538048199992 = 2332737902977207
BaseRepresentation
bin10010111000111010101001…
…00110111000110100111000
312110001222221222221222021100
421130131110212320310320
520421024410314344432
6224202152123011400
711515011362041041
oct1134352446706470
9173058858858240
1041538048199992
1112265207350243
1247aa428369b60
131a24037594276
14a386490038c8
154c077755c07c
hex25c7549b8d38

41538048199992 has 48 divisors (see below), whose sum is σ = 114039961111440. Its totient is φ = 13656344611968.

The previous prime is 41538048199969. The next prime is 41538048200003. The reversal of 41538048199992 is 29999184083514.

41538048199992 is a `hidden beast` number, since 4 + 1 + 53 + 8 + 0 + 481 + 9 + 9 + 9 + 92 = 666.

41538048199992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 41538048199992.

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, 3951483348 + ... + 3951493859.

It is an arithmetic number, because the mean of its divisors is an integer number (2375832523155).

Almost surely, 241538048199992 is an apocalyptic number.

It is an amenable number.

41538048199992 is an abundant number, since it is smaller than the sum of its proper divisors (72501912911448).

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

41538048199992 is a wasteful number, since it uses less digits than its factorization.

41538048199992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902977292 (or 7902977285 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 41538048199992 in words is "forty-one trillion, five hundred thirty-eight billion, forty-eight million, one hundred ninety-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 7902977207 15805954414 23708931621 31611908828 47417863242 63223817656 71126794863 94835726484 142253589726 189671452968 284507179452 569014358904 576917336111 1153834672222 1730752008333 2307669344444 3461504016666 4615338688888 5192256024999 6923008033332 10384512049998 13846016066664 20769024099996 41538048199992