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108938245248 = 27357500341
BaseRepresentation
bin110010101110100111…
…0011011010010000000
3101102012002112020200000
41211131032123102000
53241101142321443
6122013500400000
710604406543360
oct1453516332200
9342162466600
10108938245248
1142222888048
1219143246000
13a37154a161
1453b619c9a0
152c78cb88d3
hex195d39b480

108938245248 has 192 divisors, whose sum is σ = 371533955520. Its totient is φ = 31125150720.

The previous prime is 108938245243. The next prime is 108938245277. The reversal of 108938245248 is 842542839801.

108938245248 is a `hidden beast` number, since 1 + 0 + 8 + 93 + 8 + 24 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 108938245194 and 108938245203.

It is not an unprimeable number, because it can be changed into a prime (108938245243) 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 23 ways as a sum of consecutive naturals, for example, 32443 + ... + 467898.

It is an arithmetic number, because the mean of its divisors is an integer number (1935072685).

Almost surely, 2108938245248 is an apocalyptic number.

108938245248 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 108938245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185766977760).

108938245248 is an abundant number, since it is smaller than the sum of its proper divisors (262595710272).

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

108938245248 is an frugal number, since it uses more digits than its factorization.

108938245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500377 (or 500353 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 108938245248 in words is "one hundred eight billion, nine hundred thirty-eight million, two hundred forty-five thousand, two hundred forty-eight".