Search a number
-
+
119068118830080 = 210355719739857
BaseRepresentation
bin11011000100101010110100…
…111011010100110000000000
3120121120210121220221201100000
4123010222310323110300000
5111101303001410030310
61101123045541200000
734036246661012310
oct3304526473246000
9517523556851300
10119068118830080
1134a36561a86602
1211430248100000
1351590c99389a4
142158cdb877440
15db737d2b14c0
hex6c4ab4ed4c00

119068118830080 has 2112 divisors, whose sum is σ = 521808312130560. Its totient is φ = 25427397574656.

The previous prime is 119068118830079. The next prime is 119068118830081. The reversal of 119068118830080 is 80038811860911.

It is a happy number.

119068118830080 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 6 + 81 + 188 + 300 + 80 = 666.

119068118830080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (119068118830079) and next prime (119068118830081).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 119068118829999 and 119068118830026.

It is not an unprimeable number, because it can be changed into a prime (119068118830081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12079544512 + ... + 12079554368.

Almost surely, 2119068118830080 is an apocalyptic number.

119068118830080 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 119068118830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260904156065280).

119068118830080 is an abundant number, since it is smaller than the sum of its proper divisors (402740193300480).

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

119068118830080 is an equidigital number, since it uses as much as digits as its factorization.

119068118830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 119068118830080 in words is "one hundred nineteen trillion, sixty-eight billion, one hundred eighteen million, eight hundred thirty thousand, eighty".