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499434783849 = 341723121492
BaseRepresentation
bin1110100010010001010…
…00100000010001101001
31202202010110122202110000
413101020220200101221
531140320301040344
61021234232413213
751040313422011
oct7211050402151
91682113582400
10499434783849
11182899a08211
1280963847209
1338134010751
141a25c132c41
15ced11d6a69
hex7448a20469

499434783849 has 135 divisors (see below), whose sum is σ = 824460688821. Its totient is φ = 301226791680.

The previous prime is 499434783847. The next prime is 499434783893. The reversal of 499434783849 is 948387434994.

The square root of 499434783849 is 706707.

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

499434783849 is a `hidden beast` number, since 4 + 99 + 434 + 78 + 38 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9809912025 + 489624871824 = 99045^2 + 699732^2 .

It is not a de Polignac number, because 499434783849 - 21 = 499434783847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (499434783847) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3351911227 + ... + 3351911375.

Almost surely, 2499434783849 is an apocalyptic number.

499434783849 is the 706707-th square number.

499434783849 is the 353354-th centered octagonal number.

It is an amenable number.

499434783849 is a deficient number, since it is larger than the sum of its proper divisors (325025904972).

499434783849 is an equidigital number, since it uses as much as digits as its factorization.

499434783849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 200 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 499434783849 in words is "four hundred ninety-nine billion, four hundred thirty-four million, seven hundred eighty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 17 27 31 51 81 93 149 153 279 289 447 459 527 837 867 961 1341 1377 1581 2511 2533 2601 2883 4023 4619 4743 7599 7803 8649 8959 12069 13857 14229 16337 22201 22797 23409 25947 26877 41571 42687 43061 49011 66603 68391 77841 78523 80631 124713 129183 143189 147033 199809 205173 235569 241893 277729 374139 377417 387549 429567 441099 599427 688231 706707 725679 833187 1132251 1162647 1288701 1323297 1334891 1798281 2064693 2120121 2434213 2499561 3396753 3487941 3866103 4004673 6194079 6360363 6416089 7302639 7498683 10190259 11598309 11699927 12014019 18582237 19248267 21335161 21907917 22496049 30570777 35099781 36042057 41381621 55746711 57744801 64005483 65723751 105299343 108126171 124144863 173234403 192016449 197171253 198898759 315898029 362697737 372434589 519703209 576049347 596696277 947694087 1088093211 1117303767 1728148041 1790088831 3264279633 3351911301 5370266493 6165861529 9792838899 16110799479 18497584587 29378516697 55492753761 166478261283 499434783849