Search a number
-
+
4066459740000 = 2533547472487
BaseRepresentation
bin111011001011001011111…
…000110110011101100000
3112101202020120102022002000
4323023023320312131200
51013111102143140000
612352034504524000
7566535443323050
oct73131370663540
915352216368060
104066459740000
111328637568a29
12558135180600
1323660894b788
14100b63ab7560
1570ba08aa000
hex3b2cbe36760

4066459740000 has 1440 divisors, whose sum is σ = 17341750863360. Its totient is φ = 907832448000.

The previous prime is 4066459739999. The next prime is 4066459740001. The reversal of 4066459740000 is 479546604.

It is an interprime number because it is at equal distance from previous prime (4066459739999) and next prime (4066459740001).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066459740001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8350019757 + ... + 8350020243.

It is an arithmetic number, because the mean of its divisors is an integer number (12042882544).

Almost surely, 24066459740000 is an apocalyptic number.

4066459740000 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 4066459740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670875431680).

4066459740000 is an abundant number, since it is smaller than the sum of its proper divisors (13275291123360).

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

4066459740000 is an equidigital number, since it uses as much as digits as its factorization.

4066459740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4066459740000 in words is "four trillion, sixty-six billion, four hundred fifty-nine million, seven hundred forty thousand".