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118657248864 = 25371137835227
BaseRepresentation
bin110111010000010000…
…1011110111001100000
3102100021102112210012220
41232200201132321200
53421002223430424
6130302124351040
711400302655030
oct1564041367140
9370242483186
10118657248864
114635aa18340
121abb60a5480
13b25cc6157b
145a58c978c0
15314716d579
hex1ba085ee60

118657248864 has 384 divisors, whose sum is σ = 403710676992. Its totient is φ = 29620131840.

The previous prime is 118657248863. The next prime is 118657248889. The reversal of 118657248864 is 468842756811.

It is a happy number.

118657248864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 118657248798 and 118657248807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118657248863) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22698219 + ... + 22703445.

It is an arithmetic number, because the mean of its divisors is an integer number (1051329888).

Almost surely, 2118657248864 is an apocalyptic number.

118657248864 is a gapful number since it is divisible by the number (14) 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 118657248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201855338496).

118657248864 is an abundant number, since it is smaller than the sum of its proper divisors (285053428128).

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

118657248864 is a wasteful number, since it uses less digits than its factorization.

118657248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5370 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 60.

The spelling of 118657248864 in words is "one hundred eighteen billion, six hundred fifty-seven million, two hundred forty-eight thousand, eight hundred sixty-four".