Search a number
-
+
5212302304000 = 28531131631757
BaseRepresentation
bin100101111011001010101…
…1011010110001100000000
3200110021212022100121101111
41023312111123112030000
51140344243342212000
615030255411413104
71045401465366511
oct113662533261400
920407768317344
105212302304000
11172a585847850
127022195b4194
132ba69707165c
141403c3698a08
15908b5c2ccba
hex4bd956d6300

5212302304000 has 576 divisors, whose sum is σ = 14664356388864. Its totient is φ = 1828915200000.

The previous prime is 5212302303961. The next prime is 5212302304021. The reversal of 5212302304000 is 4032032125.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 6885471622 + ... + 6885472378.

It is an arithmetic number, because the mean of its divisors is an integer number (25458952064).

Almost surely, 25212302304000 is an apocalyptic number.

5212302304000 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 5212302304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332178194432).

5212302304000 is an abundant number, since it is smaller than the sum of its proper divisors (9452054084864).

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

5212302304000 is a wasteful number, since it uses less digits than its factorization.

5212302304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 5212302304000 its reverse (4032032125), we get a palindrome (5216334336125).

The spelling of 5212302304000 in words is "five trillion, two hundred twelve billion, three hundred two million, three hundred four thousand".