Search a number
-
+
1983978018396 = 22331131365914723
BaseRepresentation
bin11100110111101110010…
…011100001011001011100
321000122222211122212002000
4130313232103201121130
5230001141333042041
64115232114202300
7263223552623313
oct34675623413134
97018884585060
101983978018396
116a5444961980
12280612283390
1311511c082a9a
146c04ca3927a
153691b5e3bb6
hex1cdee4e165c

1983978018396 has 192 divisors, whose sum is σ = 5794235596800. Its totient is φ = 581613220800.

The previous prime is 1983978018391. The next prime is 1983978018397. The reversal of 1983978018396 is 6938108793891.

1983978018396 is a `hidden beast` number, since 198 + 39 + 7 + 8 + 0 + 18 + 396 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983978018391) 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 63 ways as a sum of consecutive naturals, for example, 134746291 + ... + 134761013.

It is an arithmetic number, because the mean of its divisors is an integer number (30178310400).

Almost surely, 21983978018396 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 1983978018396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897117798400).

1983978018396 is an abundant number, since it is smaller than the sum of its proper divisors (3810257578404).

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

1983978018396 is a wasteful number, since it uses less digits than its factorization.

1983978018396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437 (or 18429 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 1983978018396 in words is "one trillion, nine hundred eighty-three billion, nine hundred seventy-eight million, eighteen thousand, three hundred ninety-six".