Search a number
-
+
50001190848000 = 293253739731237
BaseRepresentation
bin10110101111001110011110…
…01110000000011000000000
320120001001210221221121111100
423113213033032000120000
523023204414324114000
6254202121401214400
713350316056441150
oct1327471716003000
9216031727847440
1050001190848000
1114a28427783897
125736695791400
1321b9127361872
14c4c0db834760
155ba9a448da00
hex2d79cf380600

50001190848000 has 960 divisors, whose sum is σ = 206347810002048. Its totient is φ = 11399690649600.

The previous prime is 50001190847999. The next prime is 50001190848023. The reversal of 50001190848000 is 84809110005.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1600688382 + ... + 1600719618.

Almost surely, 250001190848000 is an apocalyptic number.

50001190848000 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 50001190848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103173905001024).

50001190848000 is an abundant number, since it is smaller than the sum of its proper divisors (156346619154048).

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

50001190848000 is a wasteful number, since it uses less digits than its factorization.

50001190848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680 (or 31651 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 50001190848000 its reverse (84809110005), we get a palindrome (50085999958005).

The spelling of 50001190848000 in words is "fifty trillion, one billion, one hundred ninety million, eight hundred forty-eight thousand".