Search a number
-
+
5133953202840 = 23335721131714007
BaseRepresentation
bin100101010110101011101…
…1101001111101010011000
3200011210122000200212212000
41022231113131033222120
51133103314004442330
614530301110321000
71036626101125200
oct112552735175230
920153560625760
105133953202840
1116aa32a817480
126aabb2659160
132b318bc83b77
1413a6adca3400
158d82c664560
hex4ab5774fa98

5133953202840 has 1536 divisors, whose sum is σ = 22738865356800. Its totient is φ = 1017588096000.

The previous prime is 5133953202823. The next prime is 5133953202883. The reversal of 5133953202840 is 482023593315.

5133953202840 is a `hidden beast` number, since 5 + 1 + 3 + 39 + 532 + 0 + 2 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1281244117 + ... + 1281248123.

It is an arithmetic number, because the mean of its divisors is an integer number (14803948800).

Almost surely, 25133953202840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133953202840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369432678400).

5133953202840 is an abundant number, since it is smaller than the sum of its proper divisors (17604912153960).

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

5133953202840 is a wasteful number, since it uses less digits than its factorization.

5133953202840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5133953202840 in words is "five trillion, one hundred thirty-three billion, nine hundred fifty-three million, two hundred two thousand, eight hundred forty".