Search a number
-
+
5316195732480 = 21034589144031
BaseRepresentation
bin100110101011100010111…
…1101010100110000000000
3200211020000211011121110000
41031113011331110300000
51144100032101414410
615150120540240000
71056040200066453
oct115270575246000
920736024147400
105316195732480
11176a649997336
1271a393240000
132c741339ab19
1414543b84b49a
1593446b8adc0
hex4d5c5f54c00

5316195732480 has 440 divisors, whose sum is σ = 19264421151360. Its totient is φ = 1401713786880.

The previous prime is 5316195732437. The next prime is 5316195732557. The reversal of 5316195732480 is 842375916135.

It is a happy number.

5316195732480 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 1 + 95 + 73 + 2 + 480 = 666.

It is a super-3 number, since 3×53161957324803 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36838065 + ... + 36982095.

It is an arithmetic number, because the mean of its divisors is an integer number (43782775344).

It is a 1-persistent number, because it is pandigital, but 2⋅5316195732480 = 10632391464960 is not.

Almost surely, 25316195732480 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 5316195732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9632210575680).

5316195732480 is an abundant number, since it is smaller than the sum of its proper divisors (13948225418880).

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

5316195732480 is a wasteful number, since it uses less digits than its factorization.

5316195732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144157 (or 144130 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5316195732480 in words is "five trillion, three hundred sixteen billion, one hundred ninety-five million, seven hundred thirty-two thousand, four hundred eighty".