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5456513205 = 325111317311609
BaseRepresentation
bin1010001010011101…
…11100100010110101
3112002021101120221200
411011032330202311
542133331410310
62301240003113
7252134411523
oct50516744265
915067346850
105456513205
112350072150
121083460499
1368c5c9050
1439a977313
1521e07e9c0
hex1453bc8b5

5456513205 has 192 divisors, whose sum is σ = 12152125440. Its totient is φ = 2222899200.

The previous prime is 5456513197. The next prime is 5456513221. The reversal of 5456513205 is 5023156545.

5456513205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5456513205 - 23 = 5456513197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5456513205.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3390441 + ... + 3392049.

It is an arithmetic number, because the mean of its divisors is an integer number (63292320).

Almost surely, 25456513205 is an apocalyptic number.

5456513205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5456513205 is an abundant number, since it is smaller than the sum of its proper divisors (6695612235).

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

5456513205 is a wasteful number, since it uses less digits than its factorization.

5456513205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5456513205 is about 73868.2151199012. The cubic root of 5456513205 is about 1760.5096239631.

The spelling of 5456513205 in words is "five billion, four hundred fifty-six million, five hundred thirteen thousand, two hundred five".