Search a number
-
+
4273145262360 = 23325133159349669
BaseRepresentation
bin111110001011101011010…
…011100011000100011000
3120010111201211200201010200
4332023223103203010120
51030002400141343420
613031020020542200
7620503344300642
oct76135323430430
916114654621120
104273145262360
1113a825a111017
125901b7851960
1324cc57077130
1410ab6da53892
157624ac29b90
hex3e2eb4e3118

4273145262360 has 384 divisors, whose sum is σ = 15464806156800. Its totient is φ = 1016183439360.

The previous prime is 4273145262293. The next prime is 4273145262499. The reversal of 4273145262360 is 632625413724.

4273145262360 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 14 + 5 + 2 + 623 + 6 + 0 = 666.

4273145262360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86007606 + ... + 86057274.

It is an arithmetic number, because the mean of its divisors is an integer number (40272932700).

Almost surely, 24273145262360 is an apocalyptic number.

4273145262360 is a gapful number since it is divisible by the number (40) 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 4273145262360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732403078400).

4273145262360 is an abundant number, since it is smaller than the sum of its proper divisors (11191660894440).

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

4273145262360 is a wasteful number, since it uses less digits than its factorization.

4273145262360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50323 (or 50316 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 4273145262360 in words is "four trillion, two hundred seventy-three billion, one hundred forty-five million, two hundred sixty-two thousand, three hundred sixty".