Search a number
-
+
4128663135336 = 2334316572414389
BaseRepresentation
bin111100000101000111011…
…111111110010001101000
3112121200210122002011222220
4330011013133332101220
51020121000230312321
612440403123314040
7604200056420625
oct74050737762150
915550718064886
104128663135336
111351a57784573
125681b4b1b920
1323c43ca2888c
14103b8504d34c
15725e179a9c6
hex3c1477fe468

4128663135336 has 64 divisors (see below), whose sum is σ = 10568074756800. Its totient is φ = 1343404113408.

The previous prime is 4128663135281. The next prime is 4128663135349. The reversal of 4128663135336 is 6335313668214.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 502830 + ... + 2917218.

It is an arithmetic number, because the mean of its divisors is an integer number (165126168075).

Almost surely, 24128663135336 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 4128663135336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284037378400).

4128663135336 is an abundant number, since it is smaller than the sum of its proper divisors (6439411621464).

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

4128663135336 is a wasteful number, since it uses less digits than its factorization.

4128663135336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416098 (or 2416094 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 4128663135336 in words is "four trillion, one hundred twenty-eight billion, six hundred sixty-three million, one hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1657 3314 4971 6628 9942 13256 19884 39768 71251 142502 213753 285004 427506 570008 855012 1710024 2414389 4828778 7243167 9657556 14486334 19315112 28972668 57945336 103818727 207637454 311456181 415274908 622912362 830549816 1245824724 2491649448 4000642573 8001285146 12001927719 16002570292 24003855438 32005140584 48007710876 96015421752 172027630639 344055261278 516082891917 688110522556 1032165783834 1376221045112 2064331567668 4128663135336