Search a number
-
+
497679455296 = 2616325412
BaseRepresentation
bin1110011111000000000…
…00011101010001000000
31202120121010200211100101
413033200000131101000
531123221420032141
61020344125532144
750645650400032
oct7174000352100
91676533624311
10497679455296
11182079094961
1280553a14054
1337c144615ba
141a132d67c52
15ce2c054531
hex73e001d440

497679455296 has 63 divisors (see below), whose sum is σ = 995518768293. Its totient is φ = 246855962880.

The previous prime is 497679455291. The next prime is 497679455321. The reversal of 497679455296 is 692554976794.

The square root of 497679455296 is 705464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 197726072896 + 299953382400 = 444664^2 + 547680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497679455291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 919924786 + ... + 919925326.

It is an arithmetic number, because the mean of its divisors is an integer number (15801885211).

Almost surely, 2497679455296 is an apocalyptic number.

497679455296 is the 705464-th square number.

It is an amenable number.

497679455296 is an abundant number, since it is smaller than the sum of its proper divisors (497839312997).

497679455296 is an frugal number, since it uses more digits than its factorization.

497679455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 706 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 73.

The spelling of 497679455296 in words is "four hundred ninety-seven billion, six hundred seventy-nine million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 163 326 541 652 1082 1304 2164 2608 4328 5216 8656 10432 17312 26569 34624 53138 88183 106276 176366 212552 292681 352732 425104 585362 705464 850208 1170724 1410928 1700416 2341448 2821856 4682896 5643712 9365792 14373829 18731584 28747658 47707003 57495316 95414006 114990632 190828012 229981264 381656024 459962528 763312048 919925056 1526624096 3053248192 7776241489 15552482978 31104965956 62209931912 124419863824 248839727648 497679455296