Search a number
-
+
50401685182680 = 233351337589716453
BaseRepresentation
bin10110111010111000011101…
…00010101001100011011000
320121110100120002200210012000
423131130032202221203120
523101240122401321210
6255110114200521000
713421254513222146
oct1335341642514330
9217410502623160
1050401685182680
1115072264353147
1257a0226480160
132217b21220420
14c63651516596
155c60e4481ac0
hex2dd70e8a98d8

50401685182680 has 512 divisors, whose sum is σ = 185861909318400. Its totient is φ = 12068475420672.

The previous prime is 50401685182669. The next prime is 50401685182691. The reversal of 50401685182680 is 8628158610405.

50401685182680 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 1 + 68 + 518 + 2 + 68 + 0 = 666.

50401685182680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50401685182669) and next prime (50401685182691).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 3063365334 + ... + 3063381786.

Almost surely, 250401685182680 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 50401685182680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930954659200).

50401685182680 is an abundant number, since it is smaller than the sum of its proper divisors (135460224135720).

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

50401685182680 is a wasteful number, since it uses less digits than its factorization.

50401685182680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22420 (or 22410 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 50401685182680 in words is "fifty trillion, four hundred one billion, six hundred eighty-five million, one hundred eighty-two thousand, six hundred eighty".