Search a number
-
+
55428691081600 = 2752478310143963
BaseRepresentation
bin11001001101001011111110…
…11100010011100110000000
321021020221010210011201102201
430212211333130103212000
524231120424404102400
6313515331131322544
714450406431306434
oct1446457734234600
9237227123151381
1055428691081600
11167301a3102231
1262725505b0454
1324c0b9827c225
14d98a977d89c4
15661c62a0106a
hex32697f713980

55428691081600 has 384 divisors, whose sum is σ = 142928806970880. Its totient is φ = 21225556992000.

The previous prime is 55428691081559. The next prime is 55428691081601. The reversal of 55428691081600 is 618019682455.

55428691081600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55428691081601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1260781219 + ... + 1260825181.

It is an arithmetic number, because the mean of its divisors is an integer number (372210434820).

Almost surely, 255428691081600 is an apocalyptic number.

55428691081600 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 55428691081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71464403485440).

55428691081600 is an abundant number, since it is smaller than the sum of its proper divisors (87500115889280).

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

55428691081600 is a wasteful number, since it uses less digits than its factorization.

55428691081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44218 (or 44201 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 55428691081600 in words is "fifty-five trillion, four hundred twenty-eight billion, six hundred ninety-one million, eighty-one thousand, six hundred".