Search a number
-
+
117373148928 = 2833721111497
BaseRepresentation
bin110110101001111111…
…1000001111100000000
3102012221221021202021000
41231103333001330000
53410340011231203
6125530453532000
711323421206320
oct1552377017400
9365857252230
10117373148928
11458610a0022
121a8b8044000
13b0b6c02819
145976515280
1530be56e4a3
hex1b53fc1f00

117373148928 has 288 divisors, whose sum is σ = 398592427520. Its totient is φ = 33373347840.

The previous prime is 117373148923. The next prime is 117373148951. The reversal of 117373148928 is 829841373711.

117373148928 is a `hidden beast` number, since 1 + 1 + 73 + 73 + 1 + 489 + 28 = 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117373148923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10203276 + ... + 10214772.

Almost surely, 2117373148928 is an apocalyptic number.

117373148928 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 117373148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199296213760).

117373148928 is an abundant number, since it is smaller than the sum of its proper divisors (281219278592).

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

117373148928 is a wasteful number, since it uses less digits than its factorization.

117373148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740 (or 11720 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 117373148928 in words is "one hundred seventeen billion, three hundred seventy-three million, one hundred forty-eight thousand, nine hundred twenty-eight".