Search a number
-
+
116548927488 = 2153671741
BaseRepresentation
bin110110010001011011…
…0111000000000000000
3102010211111100222000000
41230202312320000000
53402143011134423
6125313012000000
711264122352340
oct1544266700000
9363744328000
10116548927488
1145478916284
121a708000000
13acb521bc26
1458d8c82d20
153072010843
hex1b22db8000

116548927488 has 896 divisors, whose sum is σ = 433216758240. Its totient is φ = 30576476160.

The previous prime is 116548927421. The next prime is 116548927489. The reversal of 116548927488 is 884729845611.

116548927488 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 489 + 2 + 74 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (30965760) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116548927489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2842656748 + ... + 2842656788.

Almost surely, 2116548927488 is an apocalyptic number.

116548927488 is a gapful number since it is divisible by the number (18) 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 116548927488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216608379120).

116548927488 is an abundant number, since it is smaller than the sum of its proper divisors (316667830752).

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

116548927488 is an frugal number, since it uses more digits than its factorization.

116548927488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 116548927488 in words is "one hundred sixteen billion, five hundred forty-eight million, nine hundred twenty-seven thousand, four hundred eighty-eight".