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14784155060 = 22517389111781
BaseRepresentation
bin11011100010011010…
…00100110110110100
31102011022222220002112
431301031010312310
5220234220430220
610443003430152
71032236146613
oct156115046664
942138886075
1014784155060
1162a72a7574
122a47225358
131517c0495c
14a036b987a
155b7dca5c5
hex371344db4

14784155060 has 48 divisors (see below), whose sum is σ = 32957804880. Its totient is φ = 5551441920.

The previous prime is 14784155053. The next prime is 14784155081. The reversal of 14784155060 is 6055148741.

14784155060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1173199504 + 13610955556 = 34252^2 + 116666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14784154999 and 14784155017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76370 + ... + 188150.

It is an arithmetic number, because the mean of its divisors is an integer number (686620935).

Almost surely, 214784155060 is an apocalyptic number.

14784155060 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 14784155060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478902440).

14784155060 is an abundant number, since it is smaller than the sum of its proper divisors (18173649820).

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

14784155060 is a wasteful number, since it uses less digits than its factorization.

14784155060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112196 (or 112194 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 14784155060 in words is "fourteen billion, seven hundred eighty-four million, one hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 389 778 1556 1945 3890 6613 7780 13226 26452 33065 66130 111781 132260 223562 447124 558905 1117810 1900277 2235620 3800554 7601108 9501385 19002770 38005540 43482809 86965618 173931236 217414045 434828090 739207753 869656180 1478415506 2956831012 3696038765 7392077530 14784155060