Search a number
-
+
50180820543360 = 2732513311011931109
BaseRepresentation
bin10110110100011101000011…
…11110111010011110000000
320120200020110122220121021100
423122032201332322132000
523034130310024341420
6254420430053054400
713366305340605663
oct1332164176723600
9216606418817240
1050180820543360
1114a97625a92681
125765467327400
132200053360c30
14c56a9c3996da
155c04b93ec190
hex2da3a1fba780

50180820543360 has 1536 divisors, whose sum is σ = 195721113369600. Its totient is φ = 11763449856000.

The previous prime is 50180820543353. The next prime is 50180820543361. The reversal of 50180820543360 is 6334502808105.

50180820543360 is a `hidden beast` number, since 5 + 0 + 1 + 8 + 0 + 8 + 205 + 433 + 6 + 0 = 666.

It is a super-2 number, since 2×501808205433602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50180820543361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45248710486 + ... + 45248711594.

It is an arithmetic number, because the mean of its divisors is an integer number (127422599850).

Almost surely, 250180820543360 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 50180820543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97860556684800).

50180820543360 is an abundant number, since it is smaller than the sum of its proper divisors (145540292826240).

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

50180820543360 is a wasteful number, since it uses less digits than its factorization.

50180820543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 50180820543360 in words is "fifty trillion, one hundred eighty billion, eight hundred twenty million, five hundred forty-three thousand, three hundred sixty".