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115163748048384 = 29357331263331
BaseRepresentation
bin11010001011110110100110…
…010010110001111000000000
3120002202112202121111122100000
4122023312212102301320000
5110043320324000022014
61044533255005200000
733154210014651000
oct3213664622617000
9502675677448300
10115163748048384
1133770742508062
1210abb60a260000
134c34b82c79c39
142061d52cc8000
15d4aa17979509
hex68bda64b1e00

115163748048384 has 1920 divisors, whose sum is σ = 417762061516800. Its totient is φ = 31625601638400.

The previous prime is 115163748048373. The next prime is 115163748048413. The reversal of 115163748048384 is 483840847361511.

115163748048384 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 3 + 74 + 8 + 0 + 483 + 84 = 666.

115163748048384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1151637480483842 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347926731099 + ... + 347926731429.

It is an arithmetic number, because the mean of its divisors is an integer number (217584407040).

Almost surely, 2115163748048384 is an apocalyptic number.

115163748048384 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 115163748048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208881030758400).

115163748048384 is an abundant number, since it is smaller than the sum of its proper divisors (302598313468416).

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

115163748048384 is an frugal number, since it uses more digits than its factorization.

115163748048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 115163748048384 in words is "one hundred fifteen trillion, one hundred sixty-three billion, seven hundred forty-eight million, forty-eight thousand, three hundred eighty-four".