Search a number
-
+
4446992817696 = 25311133141281907
BaseRepresentation
bin100000010110110010101…
…1011010101111000100000
3120202010110120112112221110
41000231211123111320200
51040324420130131241
613242530441223320
7636166425161412
oct100554533257040
916663416475843
104446992817696
111464a60570490
125b9a34a91b40
13263471179080
141153426ba9b2
157aa23236816
hex40b656d5e20

4446992817696 has 768 divisors, whose sum is σ = 14569479880704. Its totient is φ = 1168957440000.

The previous prime is 4446992817637. The next prime is 4446992817713. The reversal of 4446992817696 is 6967182996444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4902968475 + ... + 4902969381.

It is an arithmetic number, because the mean of its divisors is an integer number (18970676928).

Almost surely, 24446992817696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4446992817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284739940352).

4446992817696 is an abundant number, since it is smaller than the sum of its proper divisors (10122487063008).

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

4446992817696 is a wasteful number, since it uses less digits than its factorization.

4446992817696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1289 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 75.

The spelling of 4446992817696 in words is "four trillion, four hundred forty-six billion, nine hundred ninety-two million, eight hundred seventeen thousand, six hundred ninety-six".