Search a number
-
+
5392603142400 = 283521913146819
BaseRepresentation
bin100111001111001000000…
…1100011101100100000000
3201002112020210012012100010
41032132100030131210000
51201323022401024100
615245154440224520
71064413506260505
oct116362014354400
921075223165303
105392603142400
111799a98986301
12731157a6b140
1330169c118496
141490094054ac
1595419a5d750
hex4e79031d900

5392603142400 has 216 divisors, whose sum is σ = 17806138146720. Its totient is φ = 1437266001920.

The previous prime is 5392603142389. The next prime is 5392603142429. The reversal of 5392603142400 is 42413062935.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36656191 + ... + 36803009.

Almost surely, 25392603142400 is an apocalyptic number.

5392603142400 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 5392603142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8903069073360).

5392603142400 is an abundant number, since it is smaller than the sum of its proper divisors (12413535004320).

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

5392603142400 is a wasteful number, since it uses less digits than its factorization.

5392603142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148761 (or 148742 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 5392603142400 in words is "five trillion, three hundred ninety-two billion, six hundred three million, one hundred forty-two thousand, four hundred".