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495047331216 = 243217234492
BaseRepresentation
bin1110011010000110001…
…11101100110110010000
31202022210200220001220100
413031003013230312100
531102324104044331
61015231022212400
750523506612634
oct7150307546620
91668720801810
10495047331216
11180a483490a9
127bb3a424100
13378b5051929
1419d63562dc4
15cd25e2aae6
hex73431ecd90

495047331216 has 135 divisors (see below), whose sum is σ = 1472162488771. Its totient is φ = 155263936512.

The previous prime is 495047331209. The next prime is 495047331217. The reversal of 495047331216 is 612133740594.

The square root of 495047331216 is 703596.

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

495047331216 is a `hidden beast` number, since 4 + 9 + 50 + 473 + 3 + 121 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81464576400 + 413582754816 = 285420^2 + 643104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (495047331217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143531860 + ... + 143535308.

Almost surely, 2495047331216 is an apocalyptic number.

495047331216 is the 703596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495047331216

495047331216 is an abundant number, since it is smaller than the sum of its proper divisors (977115157555).

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

495047331216 is an equidigital number, since it uses as much as digits as its factorization.

495047331216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 495047331216 in words is "four hundred ninety-five billion, forty-seven million, three hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3449 3468 4624 5202 6898 6936 10347 10404 13796 13872 20694 20808 27592 31041 41388 41616 55184 58633 62082 82776 117266 124164 165552 175899 234532 248328 351798 469064 496656 527697 703596 938128 996761 1055394 1407192 1993522 2110788 2814384 2990283 3987044 4221576 5980566 7974088 8443152 8970849 11895601 11961132 15948176 17941698 23791202 23922264 35686803 35883396 47582404 47844528 71373606 71766792 95164808 107060409 142747212 143533584 190329616 202225217 214120818 285494424 404450434 428241636 570988848 606675651 808900868 856483272 1213351302 1617801736 1712966544 1820026953 2426702604 3235603472 3437828689 3640053906 4853405208 6875657378 7280107812 9706810416 10313486067 13751314756 14560215624 20626972134 27502629512 29120431248 30940458201 41253944268 55005259024 61880916402 82507888536 123761832804 165015777072 247523665608 495047331216