Search a number
-
+
1988545781376 = 273271122037979
BaseRepresentation
bin11100111011111110100…
…100001001111010000000
321001002210011201020220200
4130323332210021322000
5230040020210001001
64121305245205200
7263445006152460
oct34737644117200
97032704636820
101988545781376
116a7379285900
12281487b60800
131156994c3b0b
146c363543ba0
1536ad761a086
hex1cefe909e80

1988545781376 has 288 divisors, whose sum is σ = 7188281536800. Its totient is φ = 516505144320.

The previous prime is 1988545781363. The next prime is 1988545781399. The reversal of 1988545781376 is 6731875458891.

1988545781376 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 545 + 7 + 8 + 1 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43246 + ... + 1994733.

Almost surely, 21988545781376 is an apocalyptic number.

1988545781376 is a gapful number since it is divisible by the number (16) 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 1988545781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594140768400).

1988545781376 is an abundant number, since it is smaller than the sum of its proper divisors (5199735755424).

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

1988545781376 is a wasteful number, since it uses less digits than its factorization.

1988545781376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038028 (or 2038002 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 1988545781376 in words is "one trillion, nine hundred eighty-eight billion, five hundred forty-five million, seven hundred eighty-one thousand, three hundred seventy-six".