Search a number
-
+
50679022848000 = 21135319232941127
BaseRepresentation
bin10111000010111101000010…
…01001111000100000000000
320122102212102020102221002020
423201132201021320200000
523120311114322114000
6255441342141321440
713450303300410111
oct1341364111704000
9218385366387066
1050679022848000
111516994221aa28
125825b26266280
13223801bc17931
14c72c40946208
155cd4272ceba0
hex2e17a1278800

50679022848000 has 3072 divisors, whose sum is σ = 197815468032000. Its totient is φ = 11444944896000.

The previous prime is 50679022847953. The next prime is 50679022848001. The reversal of 50679022848000 is 84822097605.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×506790228480002 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (50679022848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 399047423937 + ... + 399047424063.

It is an arithmetic number, because the mean of its divisors is an integer number (64393056000).

Almost surely, 250679022848000 is an apocalyptic number.

50679022848000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50679022848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98907734016000).

50679022848000 is an abundant number, since it is smaller than the sum of its proper divisors (147136445184000).

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

50679022848000 is a wasteful number, since it uses less digits than its factorization.

50679022848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 50679022848000 in words is "fifty trillion, six hundred seventy-nine billion, twenty-two million, eight hundred forty-eight thousand".