Search a number
-
+
18123820120 = 235729246847
BaseRepresentation
bin10000111000010000…
…111000110001011000
31201210002011110022001
4100320100320301120
5244104144220440
612154224210344
71211060633500
oct207020706130
951702143261
1018123820120
11776047333a
1236197699b4
13192aa94223
14c3d05ca00
157111b5b9a
hex438438c58

18123820120 has 48 divisors (see below), whose sum is σ = 47436330240. Its totient is φ = 6213880512.

The previous prime is 18123820103. The next prime is 18123820153. The reversal of 18123820120 is 2102832181.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4621464 + ... + 4625383.

It is an arithmetic number, because the mean of its divisors is an integer number (988256880).

Almost surely, 218123820120 is an apocalyptic number.

18123820120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18123820120 is an abundant number, since it is smaller than the sum of its proper divisors (29312510120).

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

18123820120 is a wasteful number, since it uses less digits than its factorization.

18123820120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246872 (or 9246861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 18123820120 in words is "eighteen billion, one hundred twenty-three million, eight hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 9246847 18493694 36987388 46234235 64727929 73974776 92468470 129455858 184936940 258911716 323639645 369873880 453095503 517823432 647279290 906191006 1294558580 1812382012 2265477515 2589117160 3624764024 4530955030 9061910060 18123820120