Search a number
-
+
4230028704776 = 2372172327331637
BaseRepresentation
bin111101100011100001010…
…110111011110000001000
3112222101102222021122100112
4331203201112323300020
51023301044322023101
612555125351253452
7614416024511300
oct75434126736010
915871388248315
104230028704776
111390a43a22156
1258398407a288
13248b75420274
14108a3d5bc600
15750758286bb
hex3d8e15bbc08

4230028704776 has 288 divisors, whose sum is σ = 10232310455640. Its totient is φ = 1628824006656.

The previous prime is 4230028704763. The next prime is 4230028704787. The reversal of 4230028704776 is 6774078200324.

4230028704776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4007499511876 + 222529192900 = 2001874^2 + 471730^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2584011830 + ... + 2584013466.

Almost surely, 24230028704776 is an apocalyptic number.

4230028704776 is a gapful number since it is divisible by the number (46) 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 4230028704776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116155227820).

4230028704776 is an abundant number, since it is smaller than the sum of its proper divisors (6002281750864).

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

4230028704776 is a wasteful number, since it uses less digits than its factorization.

4230028704776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 50.

The spelling of 4230028704776 in words is "four trillion, two hundred thirty billion, twenty-eight million, seven hundred four thousand, seven hundred seventy-six".