Search a number
-
+
5390654899800 = 2335241596160887
BaseRepresentation
bin100111001110001110000…
…0100100000011001011000
3201002100020000020012220210
41032130130010200121120
51201310030123243200
615244233242451120
71064314311423102
oct116343404403130
921070200205823
105390654899800
11179918917a855
127308b3503aa0
1330144b5c3401
14148ca2780572
15953539c1650
hex4e71c120658

5390654899800 has 384 divisors, whose sum is σ = 17694442483200. Its totient is φ = 1356052992000.

The previous prime is 5390654899789. The next prime is 5390654899807. The reversal of 5390654899800 is 89984560935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5390654899807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88504957 + ... + 88565843.

It is an arithmetic number, because the mean of its divisors is an integer number (46079277300).

Almost surely, 25390654899800 is an apocalyptic number.

5390654899800 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 5390654899800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847221241600).

5390654899800 is an abundant number, since it is smaller than the sum of its proper divisors (12303787583400).

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

5390654899800 is a wasteful number, since it uses less digits than its factorization.

5390654899800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61067 (or 61058 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 5390654899800 in words is "five trillion, three hundred ninety billion, six hundred fifty-four million, eight hundred ninety-nine thousand, eight hundred".