Search a number
-
+
535250112240000 = 2735417205363901
BaseRepresentation
bin111100110110011101010000…
…0110011100101100110000000
32121012011102002121200202210010
41321230322200303211212000
51030124014212213140000
65134214301302504520
7220512354516310323
oct17154724063454600
92535142077622703
10535250112240000
11145602330466163
1250047083735140
1319c87b3b293b81
14962635a85a7ba
1541d313c9d3d50
hex1e6cea0ce5980

535250112240000 has 640 divisors, whose sum is σ = 1882082258765280. Its totient is φ = 134269747200000.

The previous prime is 535250112239863. The next prime is 535250112240023. The reversal of 535250112240000 is 42211052535.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a self number, because there is not a number n which added to its sum of digits gives 535250112240000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8376208050 + ... + 8376271950.

Almost surely, 2535250112240000 is an apocalyptic number.

535250112240000 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 535250112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941041129382640).

535250112240000 is an abundant number, since it is smaller than the sum of its proper divisors (1346832146525280).

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

535250112240000 is a wasteful number, since it uses less digits than its factorization.

535250112240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66008 (or 65981 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 535250112240000 its reverse (42211052535), we get a palindrome (535292323292535).

The spelling of 535250112240000 in words is "five hundred thirty-five trillion, two hundred fifty billion, one hundred twelve million, two hundred forty thousand".