Search a number
-
+
2128049925120 = 210325717388081
BaseRepresentation
bin11110111101111001101…
…010001110110000000000
321112102212110101000202100
4132331321222032300000
5234331221240100440
64305340155150400
7306514026623640
oct36757152166000
97472773330670
102128049925120
11750556782889
122a451b745400
1312589c421b32
1474dd8d78520
153a54ea41230
hex1ef79a8ec00

2128049925120 has 528 divisors, whose sum is σ = 8922744088128. Its totient is φ = 457797795840.

The previous prime is 2128049925097. The next prime is 2128049925173. The reversal of 2128049925120 is 215299408212.

2128049925120 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 0 + 49 + 92 + 512 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5289480 + ... + 5677560.

Almost surely, 22128049925120 is an apocalyptic number.

2128049925120 is a gapful number since it is divisible by the number (20) 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 2128049925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461372044064).

2128049925120 is an abundant number, since it is smaller than the sum of its proper divisors (6794694163008).

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

2128049925120 is a wasteful number, since it uses less digits than its factorization.

2128049925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388136 (or 388115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2128049925120 in words is "two trillion, one hundred twenty-eight billion, forty-nine million, nine hundred twenty-five thousand, one hundred twenty".