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118794240000 = 21432541289
BaseRepresentation
bin110111010100010110…
…0000100000000000000
3102100121222022122201200
41232220230010000000
53421242311140000
6130323500501200
711403555244062
oct1565054040000
9370558278650
10118794240000
1146420284857
121b033b4a800
13b282457207
145a6d157732
1531541cd500
hex1ba8b04000

118794240000 has 450 divisors, whose sum is σ = 429161522790. Its totient is φ = 31653888000.

The previous prime is 118794239989. The next prime is 118794240013. The reversal of 118794240000 is 42497811.

It can be written as a sum of positive squares in 5 ways, for example, as 28159524864 + 90634715136 = 167808^2 + 301056^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×1187942400002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92159356 + ... + 92160644.

Almost surely, 2118794240000 is an apocalyptic number.

118794240000 is a gapful number since it is divisible by the number (10) 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 118794240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214580761395).

118794240000 is an abundant number, since it is smaller than the sum of its proper divisors (310367282790).

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

118794240000 is an frugal number, since it uses more digits than its factorization.

118794240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 118794240000 in words is "one hundred eighteen billion, seven hundred ninety-four million, two hundred forty thousand".