Search a number
-
+
18234065820672 = 21038132329313
BaseRepresentation
bin1000010010101011100110…
…00001000001110000000000
32101120011022101202100000000
410021111303001001300000
54342221331322230142
6102440340400000000
73561240102122142
oct411256301016000
971504271670000
1018234065820672
1158a0029881759
122065a73900000
13a2360788c790
14470767ca2c92
1521949ad7e14c
hex109573041c00

18234065820672 has 1584 divisors, whose sum is σ = 63759845298240. Its totient is φ = 5164940132352.

The previous prime is 18234065820667. The next prime is 18234065820689. The reversal of 18234065820672 is 27602856043281.

18234065820672 is a `hidden beast` number, since 1 + 8 + 23 + 406 + 5 + 8 + 206 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58255801188 + ... + 58255801500.

Almost surely, 218234065820672 is an apocalyptic number.

18234065820672 is a gapful number since it is divisible by the number (12) 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 18234065820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879922649120).

18234065820672 is an abundant number, since it is smaller than the sum of its proper divisors (45525779477568).

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

18234065820672 is an equidigital number, since it uses as much as digits as its factorization.

18234065820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 18234065820672 in words is "eighteen trillion, two hundred thirty-four billion, sixty-five million, eight hundred twenty thousand, six hundred seventy-two".