Search a number
-
+
5238065195496 = 23337217231371493
BaseRepresentation
bin100110000111001010100…
…0000111110100111101000
3200112202100202210002121000
41030032111000332213220
51141310024142223441
615050200043515000
71050303065351400
oct114162500764750
920482322702530
105238065195496
11173a4a6279511
12707209528a60
132bcc41667353
141417490ab800
15913c28972b6
hex4c39503e9e8

5238065195496 has 1152 divisors, whose sum is σ = 19074301977600. Its totient is φ = 1325388718080.

The previous prime is 5238065195477. The next prime is 5238065195501. The reversal of 5238065195496 is 6945915608325.

5238065195496 is a `hidden beast` number, since 5 + 2 + 3 + 8 + 0 + 6 + 51 + 95 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3508415326 + ... + 3508416818.

It is an arithmetic number, because the mean of its divisors is an integer number (16557553800).

Almost surely, 25238065195496 is an apocalyptic number.

5238065195496 is a gapful number since it is divisible by the number (56) 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 5238065195496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537150988800).

5238065195496 is an abundant number, since it is smaller than the sum of its proper divisors (13836236782104).

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

5238065195496 is a wasteful number, since it uses less digits than its factorization.

5238065195496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

It can be divided in two parts, 5238065 and 195496, that added together give a square (5433561 = 23312).

The spelling of 5238065195496 in words is "five trillion, two hundred thirty-eight billion, sixty-five million, one hundred ninety-five thousand, four hundred ninety-six".