Search a number
-
+
4325516482560 = 2113571319313771
BaseRepresentation
bin111110111100011100110…
…111111001100000000000
3120022111220200101100100220
4332330130313321200000
51031332124204420220
613111040445543040
7624336221313060
oct76743467714000
916274820340326
104325516482560
111418494319989
1259a392874a80
13254b82167020
1410d4db2713a0
15777b385d540
hex3ef1cdf9800

4325516482560 has 3072 divisors, whose sum is σ = 19274327654400. Its totient is φ = 802632499200.

The previous prime is 4325516482513. The next prime is 4325516482583. The reversal of 4325516482560 is 652846155234.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60922767325 + ... + 60922767395.

It is an arithmetic number, because the mean of its divisors is an integer number (6274195200).

Almost surely, 24325516482560 is an apocalyptic number.

4325516482560 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 4325516482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637163827200).

4325516482560 is an abundant number, since it is smaller than the sum of its proper divisors (14948811171840).

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

4325516482560 is a wasteful number, since it uses less digits than its factorization.

4325516482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 4325516482560 in words is "four trillion, three hundred twenty-five billion, five hundred sixteen million, four hundred eighty-two thousand, five hundred sixty".