Search a number
-
+
4331629336416 = 25389506979089
BaseRepresentation
bin111111000010001001001…
…110100101011101100000
3120100002200200210111102120
4333002021032211131200
51031432134102231131
613113531213344240
7624643545600324
oct77021116453540
916302620714376
104331629336416
111420040920518
1259b5b9a98080
13255617727105
1410d91b059984
1577a20339496
hex3f0893a5760

4331629336416 has 48 divisors (see below), whose sum is σ = 11498285761200. Its totient is φ = 1427653111808.

The previous prime is 4331629336399. The next prime is 4331629336457. The reversal of 4331629336416 is 6146339261334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253481001 + ... + 253498088.

It is an arithmetic number, because the mean of its divisors is an integer number (239547620025).

Almost surely, 24331629336416 is an apocalyptic number.

It is an amenable number.

4331629336416 is an abundant number, since it is smaller than the sum of its proper divisors (7166656424784).

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

4331629336416 is a wasteful number, since it uses less digits than its factorization.

4331629336416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506979191 (or 506979183 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 51.

The spelling of 4331629336416 in words is "four trillion, three hundred thirty-one billion, six hundred twenty-nine million, three hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 506979089 1013958178 1520937267 2027916356 3041874534 4055832712 6083749068 8111665424 12167498136 16223330848 24334996272 45121138921 48669992544 90242277842 135363416763 180484555684 270726833526 360969111368 541453667052 721938222736 1082907334104 1443876445472 2165814668208 4331629336416