Search a number
-
+
1368063216 = 243313477173
BaseRepresentation
bin101000110001010…
…1111110011110000
310112100020210221000
41101202233303300
510300211010331
6343430202000
745621226332
oct12142576360
93470223830
101368063216
11642266163
123221b3300
1318a579080
14cd99b452
15801870e6
hex518afcf0

1368063216 has 320 divisors, whose sum is σ = 4439715840. Its totient is φ = 400619520.

The previous prime is 1368063173. The next prime is 1368063227. The reversal of 1368063216 is 6123608631.

1368063216 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 0 + 632 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18740556 + ... + 18740628.

It is an arithmetic number, because the mean of its divisors is an integer number (13874112).

Almost surely, 21368063216 is an apocalyptic number.

1368063216 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 1368063216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219857920).

1368063216 is an abundant number, since it is smaller than the sum of its proper divisors (3071652624).

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

1368063216 is a wasteful number, since it uses less digits than its factorization.

1368063216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1368063216 is about 36987.3385903879. The cubic root of 1368063216 is about 1110.1169197512.

The spelling of 1368063216 in words is "one billion, three hundred sixty-eight million, sixty-three thousand, two hundred sixteen".