Search a number
-
+
53353344000 = 2103531117743
BaseRepresentation
bin110001101100000110…
…110110110000000000
312002201021201200210210
4301230012312300000
51333231424002000
640302111154120
73566100640605
oct615406666000
9162637650723
1053353344000
1120699632030
12a40bb15940
13505370b548
142821c346ac
1515c3e83350
hexc6c1b6c00

53353344000 has 704 divisors, whose sum is σ = 205271718912. Its totient is φ = 12156928000.

The previous prime is 53353343947. The next prime is 53353344013. The reversal of 53353344000 is 44335335.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 71807629 + ... + 71808371.

Almost surely, 253353344000 is an apocalyptic number.

53353344000 is a gapful number since it is divisible by the number (50) 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 53353344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102635859456).

53353344000 is an abundant number, since it is smaller than the sum of its proper divisors (151918374912).

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

53353344000 is a wasteful number, since it uses less digits than its factorization.

53353344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 53353344000 its reverse (44335335), we get a palindrome (53397679335).

The spelling of 53353344000 in words is "fifty-three billion, three hundred fifty-three million, three hundred forty-four thousand".