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108929028096 = 212347173189
BaseRepresentation
bin110010101110010101…
…1010001000000000000
3101102011110011222010000
41211130223101000000
53241041312344341
6122012531040000
710604235314250
oct1453453210000
9342143158100
10108929028096
1142218662069
1219140140000
13a36c670a15
1453b4c7d960
152c780978b6
hex195cad1000

108929028096 has 1040 divisors, whose sum is σ = 411033553920. Its totient is φ = 28028436480.

The previous prime is 108929028059. The next prime is 108929028097. The reversal of 108929028096 is 690820929801.

108929028096 is a `hidden beast` number, since 108 + 92 + 90 + 280 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108929028097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1223921620 + ... + 1223921708.

Almost surely, 2108929028096 is an apocalyptic number.

108929028096 is a gapful number since it is divisible by the number (16) 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 108929028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205516776960).

108929028096 is an abundant number, since it is smaller than the sum of its proper divisors (302104525824).

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

108929028096 is an equidigital number, since it uses as much as digits as its factorization.

108929028096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 108929028096 in words is "one hundred eight billion, nine hundred twenty-nine million, twenty-eight thousand, ninety-six".