Search a number
-
+
2463060664050 = 2352710632206747
BaseRepresentation
bin100011110101111001110…
…110110001111011110010
322201110120221011212110220
4203311321312301323302
5310323322012222200
65123303042033510
7342643640130420
oct43657166617362
98643527155426
102463060664050
1186a63a595468
12339436048896
1314b35b7643bc
14872d9bc0110
154410aba24a0
hex23d79db1ef2

2463060664050 has 96 divisors (see below), whose sum is σ = 6987588099072. Its totient is φ = 562455420480.

The previous prime is 2463060664049. The next prime is 2463060664081. The reversal of 2463060664050 is 504660603642.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2463060663993 and 2463060664011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12777 + ... + 2219523.

It is an arithmetic number, because the mean of its divisors is an integer number (72787376032).

Almost surely, 22463060664050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463060664050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493794049536).

2463060664050 is an abundant number, since it is smaller than the sum of its proper divisors (4524527435022).

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

2463060664050 is a wasteful number, since it uses less digits than its factorization.

2463060664050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207832 (or 2207827 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2463060664050 in words is "two trillion, four hundred sixty-three billion, sixty million, six hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 1063 2126 3189 5315 6378 7441 10630 14882 15945 22323 26575 31890 37205 44646 53150 74410 79725 111615 159450 186025 223230 372050 558075 1116150 2206747 4413494 6620241 11033735 13240482 15447229 22067470 30894458 33101205 46341687 55168675 66202410 77236145 92683374 110337350 154472290 165506025 231708435 331012050 386180725 463416870 772361450 1158542175 2317084350 2345772061 4691544122 7037316183 11728860305 14074632366 16420404427 23457720610 32840808854 35186580915 49261213281 58644301525 70373161830 82102022135 98522426562 117288603050 164204044270 175932904575 246306066405 351865809150 410510110675 492612132810 821020221350 1231530332025 2463060664050