Search a number
-
+
119894681088 = 293471331769
BaseRepresentation
bin110111110101001000…
…1111010011000000000
3102110110122222212010000
41233222101322120000
53431021014243323
6131025011040000
711443046655120
oct1575221723000
9373418885100
10119894681088
11469354704a6
121b2a05a0000
13b3c94308a0
145b3536cc80
1531baaeee43
hex1bea47a600

119894681088 has 400 divisors, whose sum is σ = 440449621920. Its totient is φ = 31619579904.

The previous prime is 119894681069. The next prime is 119894681113. The reversal of 119894681088 is 880186498911.

119894681088 is a `hidden beast` number, since 1 + 1 + 9 + 89 + 468 + 10 + 88 = 666.

119894681088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3758068 + ... + 3789836.

Almost surely, 2119894681088 is an apocalyptic number.

119894681088 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 119894681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220224810960).

119894681088 is an abundant number, since it is smaller than the sum of its proper divisors (320554940832).

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

119894681088 is an equidigital number, since it uses as much as digits as its factorization.

119894681088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31819 (or 31794 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 119894681088 in words is "one hundred nineteen billion, eight hundred ninety-four million, six hundred eighty-one thousand, eighty-eight".