Search a number
-
+
53942950619712 = 263271117417612293
BaseRepresentation
bin11000100001111100100100…
…11010001110101001000000
321001222220011222101011122100
430100332102122032221000
524032300130324312322
6310421014401110400
714235151413615330
oct1420762232165100
9231886158334570
1053942950619712
1116208093375990
126072609028400
132413a4c17674b
14d46bd1cc50c0
156382a7454dac
hex310f9268ea40

53942950619712 has 1344 divisors, whose sum is σ = 209453917091328. Its totient is φ = 12842827776000.

The previous prime is 53942950619699. The next prime is 53942950619741. The reversal of 53942950619712 is 21791605924935.

53942950619712 is a `hidden beast` number, since 5 + 3 + 9 + 4 + 2 + 9 + 5 + 0 + 619 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53942950619712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23525053638 + ... + 23525055930.

It is an arithmetic number, because the mean of its divisors is an integer number (155843688312).

Almost surely, 253942950619712 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 53942950619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104726958545664).

53942950619712 is an abundant number, since it is smaller than the sum of its proper divisors (155510966471616).

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

53942950619712 is a wasteful number, since it uses less digits than its factorization.

53942950619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 53942950619712 in words is "fifty-three trillion, nine hundred forty-two billion, nine hundred fifty million, six hundred nineteen thousand, seven hundred twelve".