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16108794000 = 243453137649
BaseRepresentation
bin11110000000010100…
…01011000010010000
31112120122112112010000
433000022023002100
5230442322402000
611222243210000
71110122326665
oct170012130220
945518475100
1016108794000
116916aa33a2
123156976900
131699488690
14acb5b1a6c
15644336000
hex3c028b090

16108794000 has 400 divisors, whose sum is σ = 62670207600. Its totient is φ = 3964723200.

The previous prime is 16108793999. The next prime is 16108794001. The reversal of 16108794000 is 49780161.

It is an interprime number because it is at equal distance from previous prime (16108793999) and next prime (16108794001).

It can be written as a sum of positive squares in 8 ways, for example, as 12640055184 + 3468738816 = 112428^2 + 58896^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16108794001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2102176 + ... + 2109824.

It is an arithmetic number, because the mean of its divisors is an integer number (156675519).

Almost surely, 216108794000 is an apocalyptic number.

16108794000 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 16108794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31335103800).

16108794000 is an abundant number, since it is smaller than the sum of its proper divisors (46561413600).

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

16108794000 is a wasteful number, since it uses less digits than its factorization.

16108794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 16108794000 in words is "sixteen billion, one hundred eight million, seven hundred ninety-four thousand".