Search a number
-
+
490983288164 = 221773860911489
BaseRepresentation
bin1110010010100001110…
…00100110110101100100
31201221022110200021220022
413021100320212311210
531021013210210124
61013315443454312
750321011042625
oct7112070466544
91657273607808
10490983288164
1117a2522a2436
127b1a5387398
13373b8098c25
1419a998dba4c
15cb89254c5e
hex7250e26d64

490983288164 has 48 divisors (see below), whose sum is σ = 922413063600. Its totient is φ = 227839574016.

The previous prime is 490983288157. The next prime is 490983288209. The reversal of 490983288164 is 461882389094.

It can be written as a sum of positive squares in 8 ways, for example, as 5185440100 + 485797848064 = 72010^2 + 696992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 490983288097 and 490983288106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42729332 + ... + 42740820.

It is an arithmetic number, because the mean of its divisors is an integer number (19216938825).

Almost surely, 2490983288164 is an apocalyptic number.

It is an amenable number.

490983288164 is a deficient number, since it is larger than the sum of its proper divisors (431429775436).

490983288164 is a wasteful number, since it uses less digits than its factorization.

490983288164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 62.

The spelling of 490983288164 in words is "four hundred ninety billion, nine hundred eighty-three million, two hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 17 34 68 73 146 292 1241 2482 4964 8609 11489 17218 22978 34436 45956 146353 195313 292706 390626 585412 628457 781252 838697 1256914 1677394 2513828 3354788 10683769 14257849 21367538 28515698 42735076 57031396 98908801 197817602 395635204 1681449617 3362899234 6725798468 7220342473 14440684946 28881369892 122745822041 245491644082 490983288164